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Finding the Fourth Proportional to 13,247.28, 19,872 and 5,451.84

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Solution

The fourth proportional to 13,247.28, 19,872 and 5,451.84 is: 8,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.28 : 19,872 = 5,451.84 : x
  2. Step 2: Convert to fraction form
    13,247.28/19,872 = 5,451.84/x
  3. Step 3: Cross multiply
    13,247.28x = 19,872 × 5,451.84
  4. Step 4: Simplify right side
    13,247.28x = 108,338,964.48
  5. Step 5: Solve for x
    x = 108,338,964.48/13,247.28
  6. Step 6: Final answer
    x = 8,178.20

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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.