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Finding the Fourth Proportional to 16,566.31, 22,862.13 and 9,494.10

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Solution

The fourth proportional to 16,566.31, 22,862.13 and 9,494.10 is: 13,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.31 : 22,862.13 = 9,494.10 : x
  2. Step 2: Convert to fraction form
    16,566.31/22,862.13 = 9,494.10/x
  3. Step 3: Cross multiply
    16,566.31x = 22,862.13 × 9,494.10
  4. Step 4: Simplify right side
    16,566.31x = 217,055,298.30
  5. Step 5: Solve for x
    x = 217,055,298.30/16,566.31
  6. Step 6: Final answer
    x = 13,102.21

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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.