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Finding the Fourth Proportional to 15,209.31, 22,813.97 and 9,948.74

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Solution

The fourth proportional to 15,209.31, 22,813.97 and 9,948.74 is: 14,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.31 : 22,813.97 = 9,948.74 : x
  2. Step 2: Convert to fraction form
    15,209.31/22,813.97 = 9,948.74/x
  3. Step 3: Cross multiply
    15,209.31x = 22,813.97 × 9,948.74
  4. Step 4: Simplify right side
    15,209.31x = 226,970,263.19
  5. Step 5: Solve for x
    x = 226,970,263.19/15,209.31
  6. Step 6: Final answer
    x = 14,923.11

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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.