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Finding the Fourth Proportional to 12,882.05, 19,318.88 and 4,114.88

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Solution

The fourth proportional to 12,882.05, 19,318.88 and 4,114.88 is: 6,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.05 : 19,318.88 = 4,114.88 : x
  2. Step 2: Convert to fraction form
    12,882.05/19,318.88 = 4,114.88/x
  3. Step 3: Cross multiply
    12,882.05x = 19,318.88 × 4,114.88
  4. Step 4: Simplify right side
    12,882.05x = 79,494,755.77
  5. Step 5: Solve for x
    x = 79,494,755.77/12,882.05
  6. Step 6: Final answer
    x = 6,170.97

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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.