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Finding the Fourth Proportional to 17,644.47, 24,350.00 and 9,687.30

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Solution

The fourth proportional to 17,644.47, 24,350.00 and 9,687.30 is: 13,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.47 : 24,350.00 = 9,687.30 : x
  2. Step 2: Convert to fraction form
    17,644.47/24,350.00 = 9,687.30/x
  3. Step 3: Cross multiply
    17,644.47x = 24,350.00 × 9,687.30
  4. Step 4: Simplify right side
    17,644.47x = 235,885,706.56
  5. Step 5: Solve for x
    x = 235,885,706.56/17,644.47
  6. Step 6: Final answer
    x = 13,368.82

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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.