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Finding the Fourth Proportional to 17,644.74, 24,349.84 and 9,687.02

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Solution

The fourth proportional to 17,644.74, 24,349.84 and 9,687.02 is: 13,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.74 : 24,349.84 = 9,687.02 : x
  2. Step 2: Convert to fraction form
    17,644.74/24,349.84 = 9,687.02/x
  3. Step 3: Cross multiply
    17,644.74x = 24,349.84 × 9,687.02
  4. Step 4: Simplify right side
    17,644.74x = 235,877,387.08
  5. Step 5: Solve for x
    x = 235,877,387.08/17,644.74
  6. Step 6: Final answer
    x = 13,368.14

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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.