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Finding the Fourth Proportional to 12,847.65, 19,272.42 and 5,451.27

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Solution

The fourth proportional to 12,847.65, 19,272.42 and 5,451.27 is: 8,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.65 : 19,272.42 = 5,451.27 : x
  2. Step 2: Convert to fraction form
    12,847.65/19,272.42 = 5,451.27/x
  3. Step 3: Cross multiply
    12,847.65x = 19,272.42 × 5,451.27
  4. Step 4: Simplify right side
    12,847.65x = 105,059,164.97
  5. Step 5: Solve for x
    x = 105,059,164.97/12,847.65
  6. Step 6: Final answer
    x = 8,177.31

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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.