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Finding the Fourth Proportional to 17,649.59, 24,356.32 and 9,691.64

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Solution

The fourth proportional to 17,649.59, 24,356.32 and 9,691.64 is: 13,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.59 : 24,356.32 = 9,691.64 : x
  2. Step 2: Convert to fraction form
    17,649.59/24,356.32 = 9,691.64/x
  3. Step 3: Cross multiply
    17,649.59x = 24,356.32 × 9,691.64
  4. Step 4: Simplify right side
    17,649.59x = 236,052,539.15
  5. Step 5: Solve for x
    x = 236,052,539.15/17,649.59
  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.