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Finding the Fourth Proportional to 18,711.50, 25,822.24 and 10,327.82

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Solution

The fourth proportional to 18,711.50, 25,822.24 and 10,327.82 is: 14,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711.50 : 25,822.24 = 10,327.82 : x
  2. Step 2: Convert to fraction form
    18,711.50/25,822.24 = 10,327.82/x
  3. Step 3: Cross multiply
    18,711.50x = 25,822.24 × 10,327.82
  4. Step 4: Simplify right side
    18,711.50x = 266,687,446.72
  5. Step 5: Solve for x
    x = 266,687,446.72/18,711.50
  6. Step 6: Final answer
    x = 14,252.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.