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Finding the Fourth Proportional to 15,281.57, 22,924.07 and 13,711.93

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Solution

The fourth proportional to 15,281.57, 22,924.07 and 13,711.93 is: 20,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.57 : 22,924.07 = 13,711.93 : x
  2. Step 2: Convert to fraction form
    15,281.57/22,924.07 = 13,711.93/x
  3. Step 3: Cross multiply
    15,281.57x = 22,924.07 × 13,711.93
  4. Step 4: Simplify right side
    15,281.57x = 314,333,128.53
  5. Step 5: Solve for x
    x = 314,333,128.53/15,281.57
  6. Step 6: Final answer
    x = 20,569.43

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