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Finding the Fourth Proportional to 14,732.19, 22,098.15 and 3,638.97

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Solution

The fourth proportional to 14,732.19, 22,098.15 and 3,638.97 is: 5,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.19 : 22,098.15 = 3,638.97 : x
  2. Step 2: Convert to fraction form
    14,732.19/22,098.15 = 3,638.97/x
  3. Step 3: Cross multiply
    14,732.19x = 22,098.15 × 3,638.97
  4. Step 4: Simplify right side
    14,732.19x = 80,414,504.91
  5. Step 5: Solve for x
    x = 80,414,504.91/14,732.19
  6. Step 6: Final answer
    x = 5,458.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.