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Finding the Fourth Proportional to 12,442.50, 18,664.56 and 5,517

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Solution

The fourth proportional to 12,442.50, 18,664.56 and 5,517 is: 8,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.50 : 18,664.56 = 5,517 : x
  2. Step 2: Convert to fraction form
    12,442.50/18,664.56 = 5,517/x
  3. Step 3: Cross multiply
    12,442.50x = 18,664.56 × 5,517
  4. Step 4: Simplify right side
    12,442.50x = 102,972,377.52
  5. Step 5: Solve for x
    x = 102,972,377.52/12,442.50
  6. Step 6: Final answer
    x = 8,275.86

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Why These Related Problems?

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