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Finding the Fourth Proportional to 16,104.92, 24,155.76 and 5,012

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Solution

The fourth proportional to 16,104.92, 24,155.76 and 5,012 is: 7,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.92 : 24,155.76 = 5,012 : x
  2. Step 2: Convert to fraction form
    16,104.92/24,155.76 = 5,012/x
  3. Step 3: Cross multiply
    16,104.92x = 24,155.76 × 5,012
  4. Step 4: Simplify right side
    16,104.92x = 121,068,669.12
  5. Step 5: Solve for x
    x = 121,068,669.12/16,104.92
  6. Step 6: Final answer
    x = 7,517.50

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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.