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Finding the Fourth Proportional to 23,164.14, 34,746.22 and 9,313.14

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Solution

The fourth proportional to 23,164.14, 34,746.22 and 9,313.14 is: 13,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.14 : 34,746.22 = 9,313.14 : x
  2. Step 2: Convert to fraction form
    23,164.14/34,746.22 = 9,313.14/x
  3. Step 3: Cross multiply
    23,164.14x = 34,746.22 × 9,313.14
  4. Step 4: Simplify right side
    23,164.14x = 323,596,411.33
  5. Step 5: Solve for x
    x = 323,596,411.33/23,164.14
  6. Step 6: Final answer
    x = 13,969.71

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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.