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Finding the Fourth Proportional to 16,167, 24,251.91 and 4,480.32

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Solution

The fourth proportional to 16,167, 24,251.91 and 4,480.32 is: 6,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167 : 24,251.91 = 4,480.32 : x
  2. Step 2: Convert to fraction form
    16,167/24,251.91 = 4,480.32/x
  3. Step 3: Cross multiply
    16,167x = 24,251.91 × 4,480.32
  4. Step 4: Simplify right side
    16,167x = 108,656,317.41
  5. Step 5: Solve for x
    x = 108,656,317.41/16,167
  6. Step 6: Final answer
    x = 6,720.87

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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.