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Finding the Fourth Proportional to 15,761.40, 23,643.62 and 5,229.20

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Solution

The fourth proportional to 15,761.40, 23,643.62 and 5,229.20 is: 7,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.40 : 23,643.62 = 5,229.20 : x
  2. Step 2: Convert to fraction form
    15,761.40/23,643.62 = 5,229.20/x
  3. Step 3: Cross multiply
    15,761.40x = 23,643.62 × 5,229.20
  4. Step 4: Simplify right side
    15,761.40x = 123,637,217.70
  5. Step 5: Solve for x
    x = 123,637,217.70/15,761.40
  6. Step 6: Final answer
    x = 7,844.30

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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.