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Finding the Fourth Proportional to 15,891.38, 23,821.55 and 7,569.17

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Solution

The fourth proportional to 15,891.38, 23,821.55 and 7,569.17 is: 11,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.38 : 23,821.55 = 7,569.17 : x
  2. Step 2: Convert to fraction form
    15,891.38/23,821.55 = 7,569.17/x
  3. Step 3: Cross multiply
    15,891.38x = 23,821.55 × 7,569.17
  4. Step 4: Simplify right side
    15,891.38x = 180,309,204.66
  5. Step 5: Solve for x
    x = 180,309,204.66/15,891.38
  6. Step 6: Final answer
    x = 11,346.36

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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.