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Finding the Fourth Proportional to 16,405.90, 22,641.19 and 9,689.72

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Solution

The fourth proportional to 16,405.90, 22,641.19 and 9,689.72 is: 13,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.90 : 22,641.19 = 9,689.72 : x
  2. Step 2: Convert to fraction form
    16,405.90/22,641.19 = 9,689.72/x
  3. Step 3: Cross multiply
    16,405.90x = 22,641.19 × 9,689.72
  4. Step 4: Simplify right side
    16,405.90x = 219,386,654.14
  5. Step 5: Solve for x
    x = 219,386,654.14/16,405.90
  6. Step 6: Final answer
    x = 13,372.43

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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.