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Finding the Fourth Proportional to 13,250.40, 19,868.04 and 5,449.92

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Solution

The fourth proportional to 13,250.40, 19,868.04 and 5,449.92 is: 8,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.40 : 19,868.04 = 5,449.92 : x
  2. Step 2: Convert to fraction form
    13,250.40/19,868.04 = 5,449.92/x
  3. Step 3: Cross multiply
    13,250.40x = 19,868.04 × 5,449.92
  4. Step 4: Simplify right side
    13,250.40x = 108,279,228.56
  5. Step 5: Solve for x
    x = 108,279,228.56/13,250.40
  6. Step 6: Final answer
    x = 8,171.77

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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.