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Finding the Fourth Proportional to 11,874.67, 17,724.31 and 10,473.88

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Solution

The fourth proportional to 11,874.67, 17,724.31 and 10,473.88 is: 15,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.67 : 17,724.31 = 10,473.88 : x
  2. Step 2: Convert to fraction form
    11,874.67/17,724.31 = 10,473.88/x
  3. Step 3: Cross multiply
    11,874.67x = 17,724.31 × 10,473.88
  4. Step 4: Simplify right side
    11,874.67x = 185,642,296.02
  5. Step 5: Solve for x
    x = 185,642,296.02/11,874.67
  6. Step 6: Final answer
    x = 15,633.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.