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Finding the Fourth Proportional to 16,516.72, 22,787.49 and 9,438.13

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Solution

The fourth proportional to 16,516.72, 22,787.49 and 9,438.13 is: 13,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.72 : 22,787.49 = 9,438.13 : x
  2. Step 2: Convert to fraction form
    16,516.72/22,787.49 = 9,438.13/x
  3. Step 3: Cross multiply
    16,516.72x = 22,787.49 × 9,438.13
  4. Step 4: Simplify right side
    16,516.72x = 215,071,292.99
  5. Step 5: Solve for x
    x = 215,071,292.99/16,516.72
  6. Step 6: Final answer
    x = 13,021.43

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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.