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Finding the Fourth Proportional to 16,275.05, 24,414.38 and 5,179.17

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Solution

The fourth proportional to 16,275.05, 24,414.38 and 5,179.17 is: 7,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.05 : 24,414.38 = 5,179.17 : x
  2. Step 2: Convert to fraction form
    16,275.05/24,414.38 = 5,179.17/x
  3. Step 3: Cross multiply
    16,275.05x = 24,414.38 × 5,179.17
  4. Step 4: Simplify right side
    16,275.05x = 126,446,076.50
  5. Step 5: Solve for x
    x = 126,446,076.50/16,275.05
  6. Step 6: Final answer
    x = 7,769.32

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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.