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Finding the Fourth Proportional to 14,381.80, 21,575.78 and 8,144.76

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Solution

The fourth proportional to 14,381.80, 21,575.78 and 8,144.76 is: 12,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.80 : 21,575.78 = 8,144.76 : x
  2. Step 2: Convert to fraction form
    14,381.80/21,575.78 = 8,144.76/x
  3. Step 3: Cross multiply
    14,381.80x = 21,575.78 × 8,144.76
  4. Step 4: Simplify right side
    14,381.80x = 175,729,549.91
  5. Step 5: Solve for x
    x = 175,729,549.91/14,381.80
  6. Step 6: Final answer
    x = 12,218.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.