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Finding the Fourth Proportional to 16,781.31, 23,158.17 and 9,228.11

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Solution

The fourth proportional to 16,781.31, 23,158.17 and 9,228.11 is: 12,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.31 : 23,158.17 = 9,228.11 : x
  2. Step 2: Convert to fraction form
    16,781.31/23,158.17 = 9,228.11/x
  3. Step 3: Cross multiply
    16,781.31x = 23,158.17 × 9,228.11
  4. Step 4: Simplify right side
    16,781.31x = 213,706,024.37
  5. Step 5: Solve for x
    x = 213,706,024.37/16,781.31
  6. Step 6: Final answer
    x = 12,734.76

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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.