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Finding the Fourth Proportional to 17,649.25, 24,356.35 and 9,691.50

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Solution

The fourth proportional to 17,649.25, 24,356.35 and 9,691.50 is: 13,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.25 : 24,356.35 = 9,691.50 : x
  2. Step 2: Convert to fraction form
    17,649.25/24,356.35 = 9,691.50/x
  3. Step 3: Cross multiply
    17,649.25x = 24,356.35 × 9,691.50
  4. Step 4: Simplify right side
    17,649.25x = 236,049,566.03
  5. Step 5: Solve for x
    x = 236,049,566.03/17,649.25
  6. Step 6: Final answer
    x = 13,374.48

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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.