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Finding the Fourth Proportional to 17,649.83, 24,356.97 and 9,691.88

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Solution

The fourth proportional to 17,649.83, 24,356.97 and 9,691.88 is: 13,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.83 : 24,356.97 = 9,691.88 : x
  2. Step 2: Convert to fraction form
    17,649.83/24,356.97 = 9,691.88/x
  3. Step 3: Cross multiply
    17,649.83x = 24,356.97 × 9,691.88
  4. Step 4: Simplify right side
    17,649.83x = 236,064,830.40
  5. Step 5: Solve for x
    x = 236,064,830.40/17,649.83
  6. Step 6: Final answer
    x = 13,374.91

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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.