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Finding the Fourth Proportional to 15,761.92, 23,643 and 4,517.28

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Solution

The fourth proportional to 15,761.92, 23,643 and 4,517.28 is: 6,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.92 : 23,643 = 4,517.28 : x
  2. Step 2: Convert to fraction form
    15,761.92/23,643 = 4,517.28/x
  3. Step 3: Cross multiply
    15,761.92x = 23,643 × 4,517.28
  4. Step 4: Simplify right side
    15,761.92x = 106,802,051.04
  5. Step 5: Solve for x
    x = 106,802,051.04/15,761.92
  6. Step 6: Final answer
    x = 6,775.95

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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.