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Finding the Fourth Proportional to 15,882.74, 23,820.25 and 5,350.04

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Solution

The fourth proportional to 15,882.74, 23,820.25 and 5,350.04 is: 8,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.74 : 23,820.25 = 5,350.04 : x
  2. Step 2: Convert to fraction form
    15,882.74/23,820.25 = 5,350.04/x
  3. Step 3: Cross multiply
    15,882.74x = 23,820.25 × 5,350.04
  4. Step 4: Simplify right side
    15,882.74x = 127,439,290.31
  5. Step 5: Solve for x
    x = 127,439,290.31/15,882.74
  6. Step 6: Final answer
    x = 8,023.76

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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.