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Finding the Fourth Proportional to 21,012.50, 31,491.47 and 8,517.90

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Solution

The fourth proportional to 21,012.50, 31,491.47 and 8,517.90 is: 12,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.50 : 31,491.47 = 8,517.90 : x
  2. Step 2: Convert to fraction form
    21,012.50/31,491.47 = 8,517.90/x
  3. Step 3: Cross multiply
    21,012.50x = 31,491.47 × 8,517.90
  4. Step 4: Simplify right side
    21,012.50x = 268,241,149.72
  5. Step 5: Solve for x
    x = 268,241,149.72/21,012.50
  6. Step 6: Final answer
    x = 12,765.79

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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.