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Finding the Fourth Proportional to 21,282.68, 31,891.62 and 10,174.10

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Solution

The fourth proportional to 21,282.68, 31,891.62 and 10,174.10 is: 15,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282.68 : 31,891.62 = 10,174.10 : x
  2. Step 2: Convert to fraction form
    21,282.68/31,891.62 = 10,174.10/x
  3. Step 3: Cross multiply
    21,282.68x = 31,891.62 × 10,174.10
  4. Step 4: Simplify right side
    21,282.68x = 324,468,531.04
  5. Step 5: Solve for x
    x = 324,468,531.04/21,282.68
  6. Step 6: Final answer
    x = 15,245.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.