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Finding the Fourth Proportional to 17,644.72, 24,349.41 and 9,686.88

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Solution

The fourth proportional to 17,644.72, 24,349.41 and 9,686.88 is: 13,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.72 : 24,349.41 = 9,686.88 : x
  2. Step 2: Convert to fraction form
    17,644.72/24,349.41 = 9,686.88/x
  3. Step 3: Cross multiply
    17,644.72x = 24,349.41 × 9,686.88
  4. Step 4: Simplify right side
    17,644.72x = 235,869,901.94
  5. Step 5: Solve for x
    x = 235,869,901.94/17,644.72
  6. Step 6: Final answer
    x = 13,367.73

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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.