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Finding the Fourth Proportional to 20,349.20, 30,480.60 and 16,461.20

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Solution

The fourth proportional to 20,349.20, 30,480.60 and 16,461.20 is: 24,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349.20 : 30,480.60 = 16,461.20 : x
  2. Step 2: Convert to fraction form
    20,349.20/30,480.60 = 16,461.20/x
  3. Step 3: Cross multiply
    20,349.20x = 30,480.60 × 16,461.20
  4. Step 4: Simplify right side
    20,349.20x = 501,747,252.72
  5. Step 5: Solve for x
    x = 501,747,252.72/20,349.20
  6. Step 6: Final answer
    x = 24,656.85

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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.