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Finding the Fourth Proportional to 16,442.74, 22,691.82 and 9,732.22

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Solution

The fourth proportional to 16,442.74, 22,691.82 and 9,732.22 is: 13,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.74 : 22,691.82 = 9,732.22 : x
  2. Step 2: Convert to fraction form
    16,442.74/22,691.82 = 9,732.22/x
  3. Step 3: Cross multiply
    16,442.74x = 22,691.82 × 9,732.22
  4. Step 4: Simplify right side
    16,442.74x = 220,841,784.44
  5. Step 5: Solve for x
    x = 220,841,784.44/16,442.74
  6. Step 6: Final answer
    x = 13,430.96

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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.