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Finding the Fourth Proportional to 12,542.53, 18,815.74 and 4,221.90

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Solution

The fourth proportional to 12,542.53, 18,815.74 and 4,221.90 is: 6,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.53 : 18,815.74 = 4,221.90 : x
  2. Step 2: Convert to fraction form
    12,542.53/18,815.74 = 4,221.90/x
  3. Step 3: Cross multiply
    12,542.53x = 18,815.74 × 4,221.90
  4. Step 4: Simplify right side
    12,542.53x = 79,438,057.52
  5. Step 5: Solve for x
    x = 79,438,057.52/12,542.53
  6. Step 6: Final answer
    x = 6,333.50

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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.