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Finding the Fourth Proportional to 13,254.98, 19,882.50 and 6,229.84

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Solution

The fourth proportional to 13,254.98, 19,882.50 and 6,229.84 is: 9,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.98 : 19,882.50 = 6,229.84 : x
  2. Step 2: Convert to fraction form
    13,254.98/19,882.50 = 6,229.84/x
  3. Step 3: Cross multiply
    13,254.98x = 19,882.50 × 6,229.84
  4. Step 4: Simplify right side
    13,254.98x = 123,864,793.80
  5. Step 5: Solve for x
    x = 123,864,793.80/13,254.98
  6. Step 6: Final answer
    x = 9,344.77

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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.