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Finding the Fourth Proportional to 17,649.18, 24,356.27 and 9,691.44

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Solution

The fourth proportional to 17,649.18, 24,356.27 and 9,691.44 is: 13,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.18 : 24,356.27 = 9,691.44 : x
  2. Step 2: Convert to fraction form
    17,649.18/24,356.27 = 9,691.44/x
  3. Step 3: Cross multiply
    17,649.18x = 24,356.27 × 9,691.44
  4. Step 4: Simplify right side
    17,649.18x = 236,047,280.87
  5. Step 5: Solve for x
    x = 236,047,280.87/17,649.18
  6. Step 6: Final answer
    x = 13,374.40

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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.