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Finding the Fourth Proportional to 16,279.14, 24,419.70 and 7,966.20

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Solution

The fourth proportional to 16,279.14, 24,419.70 and 7,966.20 is: 11,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.14 : 24,419.70 = 7,966.20 : x
  2. Step 2: Convert to fraction form
    16,279.14/24,419.70 = 7,966.20/x
  3. Step 3: Cross multiply
    16,279.14x = 24,419.70 × 7,966.20
  4. Step 4: Simplify right side
    16,279.14x = 194,532,214.14
  5. Step 5: Solve for x
    x = 194,532,214.14/16,279.14
  6. Step 6: Final answer
    x = 11,949.78

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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.