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Finding the Fourth Proportional to 16,566.66, 22,862.42 and 9,013.42

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Solution

The fourth proportional to 16,566.66, 22,862.42 and 9,013.42 is: 12,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.66 : 22,862.42 = 9,013.42 : x
  2. Step 2: Convert to fraction form
    16,566.66/22,862.42 = 9,013.42/x
  3. Step 3: Cross multiply
    16,566.66x = 22,862.42 × 9,013.42
  4. Step 4: Simplify right side
    16,566.66x = 206,068,593.68
  5. Step 5: Solve for x
    x = 206,068,593.68/16,566.66
  6. Step 6: Final answer
    x = 12,438.75

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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.