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Finding the Fourth Proportional to 16,342.92, 24,512.04 and 5,248.17

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Solution

The fourth proportional to 16,342.92, 24,512.04 and 5,248.17 is: 7,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.92 : 24,512.04 = 5,248.17 : x
  2. Step 2: Convert to fraction form
    16,342.92/24,512.04 = 5,248.17/x
  3. Step 3: Cross multiply
    16,342.92x = 24,512.04 × 5,248.17
  4. Step 4: Simplify right side
    16,342.92x = 128,643,352.97
  5. Step 5: Solve for x
    x = 128,643,352.97/16,342.92
  6. Step 6: Final answer
    x = 7,871.50

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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.