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Finding the Fourth Proportional to 22,429.31, 33,612.23 and 12,438.47

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Solution

The fourth proportional to 22,429.31, 33,612.23 and 12,438.47 is: 18,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.31 : 33,612.23 = 12,438.47 : x
  2. Step 2: Convert to fraction form
    22,429.31/33,612.23 = 12,438.47/x
  3. Step 3: Cross multiply
    22,429.31x = 33,612.23 × 12,438.47
  4. Step 4: Simplify right side
    22,429.31x = 418,084,829.61
  5. Step 5: Solve for x
    x = 418,084,829.61/22,429.31
  6. Step 6: Final answer
    x = 18,640.12

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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.