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Finding the Fourth Proportional to 16,167.72, 24,251.40 and 4,480.50

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Solution

The fourth proportional to 16,167.72, 24,251.40 and 4,480.50 is: 6,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.72 : 24,251.40 = 4,480.50 : x
  2. Step 2: Convert to fraction form
    16,167.72/24,251.40 = 4,480.50/x
  3. Step 3: Cross multiply
    16,167.72x = 24,251.40 × 4,480.50
  4. Step 4: Simplify right side
    16,167.72x = 108,658,397.70
  5. Step 5: Solve for x
    x = 108,658,397.70/16,167.72
  6. Step 6: Final answer
    x = 6,720.70

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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.