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Finding the Fourth Proportional to 12,842.55, 19,259.24 and 5,447.52

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Solution

The fourth proportional to 12,842.55, 19,259.24 and 5,447.52 is: 8,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.55 : 19,259.24 = 5,447.52 : x
  2. Step 2: Convert to fraction form
    12,842.55/19,259.24 = 5,447.52/x
  3. Step 3: Cross multiply
    12,842.55x = 19,259.24 × 5,447.52
  4. Step 4: Simplify right side
    12,842.55x = 104,915,067.85
  5. Step 5: Solve for x
    x = 104,915,067.85/12,842.55
  6. Step 6: Final answer
    x = 8,169.33

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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.