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Finding the Fourth Proportional to 17,649.72, 24,356.82 and 9,691.80

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Solution

The fourth proportional to 17,649.72, 24,356.82 and 9,691.80 is: 13,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.72 : 24,356.82 = 9,691.80 : x
  2. Step 2: Convert to fraction form
    17,649.72/24,356.82 = 9,691.80/x
  3. Step 3: Cross multiply
    17,649.72x = 24,356.82 × 9,691.80
  4. Step 4: Simplify right side
    17,649.72x = 236,061,428.08
  5. Step 5: Solve for x
    x = 236,061,428.08/17,649.72
  6. Step 6: Final answer
    x = 13,374.80

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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.