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Finding the Fourth Proportional to 23,164.74, 34,747.11 and 9,310.50

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Solution

The fourth proportional to 23,164.74, 34,747.11 and 9,310.50 is: 13,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.74 : 34,747.11 = 9,310.50 : x
  2. Step 2: Convert to fraction form
    23,164.74/34,747.11 = 9,310.50/x
  3. Step 3: Cross multiply
    23,164.74x = 34,747.11 × 9,310.50
  4. Step 4: Simplify right side
    23,164.74x = 323,512,967.66
  5. Step 5: Solve for x
    x = 323,512,967.66/23,164.74
  6. Step 6: Final answer
    x = 13,965.75

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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.