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Finding the Fourth Proportional to 22,781.56, 31,438.59 and 13,350.13

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Solution

The fourth proportional to 22,781.56, 31,438.59 and 13,350.13 is: 18,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.56 : 31,438.59 = 13,350.13 : x
  2. Step 2: Convert to fraction form
    22,781.56/31,438.59 = 13,350.13/x
  3. Step 3: Cross multiply
    22,781.56x = 31,438.59 × 13,350.13
  4. Step 4: Simplify right side
    22,781.56x = 419,709,263.52
  5. Step 5: Solve for x
    x = 419,709,263.52/22,781.56
  6. Step 6: Final answer
    x = 18,423.20

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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.