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Finding the Fourth Proportional to 23,162.14, 34,743.21 and 9,311.14

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Solution

The fourth proportional to 23,162.14, 34,743.21 and 9,311.14 is: 13,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162.14 : 34,743.21 = 9,311.14 : x
  2. Step 2: Convert to fraction form
    23,162.14/34,743.21 = 9,311.14/x
  3. Step 3: Cross multiply
    23,162.14x = 34,743.21 × 9,311.14
  4. Step 4: Simplify right side
    23,162.14x = 323,498,892.36
  5. Step 5: Solve for x
    x = 323,498,892.36/23,162.14
  6. Step 6: Final answer
    x = 13,966.71

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.