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Finding the Fourth Proportional to 17,781.53, 24,539.21 and 10,227.84

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Solution

The fourth proportional to 17,781.53, 24,539.21 and 10,227.84 is: 14,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.53 : 24,539.21 = 10,227.84 : x
  2. Step 2: Convert to fraction form
    17,781.53/24,539.21 = 10,227.84/x
  3. Step 3: Cross multiply
    17,781.53x = 24,539.21 × 10,227.84
  4. Step 4: Simplify right side
    17,781.53x = 250,983,062.47
  5. Step 5: Solve for x
    x = 250,983,062.47/17,781.53
  6. Step 6: Final answer
    x = 14,114.82

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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.