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Finding the Fourth Proportional to 22,472.49, 31,024.46 and 13,522.19

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Solution

The fourth proportional to 22,472.49, 31,024.46 and 13,522.19 is: 18,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.49 : 31,024.46 = 13,522.19 : x
  2. Step 2: Convert to fraction form
    22,472.49/31,024.46 = 13,522.19/x
  3. Step 3: Cross multiply
    22,472.49x = 31,024.46 × 13,522.19
  4. Step 4: Simplify right side
    22,472.49x = 419,518,565.21
  5. Step 5: Solve for x
    x = 419,518,565.21/22,472.49
  6. Step 6: Final answer
    x = 18,668.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.