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Finding the Fourth Proportional to 17,649.42, 24,356.50 and 9,691.98

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Solution

The fourth proportional to 17,649.42, 24,356.50 and 9,691.98 is: 13,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.42 : 24,356.50 = 9,691.98 : x
  2. Step 2: Convert to fraction form
    17,649.42/24,356.50 = 9,691.98/x
  3. Step 3: Cross multiply
    17,649.42x = 24,356.50 × 9,691.98
  4. Step 4: Simplify right side
    17,649.42x = 236,062,710.87
  5. Step 5: Solve for x
    x = 236,062,710.87/17,649.42
  6. Step 6: Final answer
    x = 13,375.10

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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.