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Finding the Fourth Proportional to 17,644.56, 24,349.03 and 9,686.71

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Solution

The fourth proportional to 17,644.56, 24,349.03 and 9,686.71 is: 13,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.56 : 24,349.03 = 9,686.71 : x
  2. Step 2: Convert to fraction form
    17,644.56/24,349.03 = 9,686.71/x
  3. Step 3: Cross multiply
    17,644.56x = 24,349.03 × 9,686.71
  4. Step 4: Simplify right side
    17,644.56x = 235,861,992.39
  5. Step 5: Solve for x
    x = 235,861,992.39/17,644.56
  6. Step 6: Final answer
    x = 13,367.41

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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.