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Finding the Fourth Proportional to 25,177.44, 37,769.24 and 8,542.23

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Solution

The fourth proportional to 25,177.44, 37,769.24 and 8,542.23 is: 12,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.44 : 37,769.24 = 8,542.23 : x
  2. Step 2: Convert to fraction form
    25,177.44/37,769.24 = 8,542.23/x
  3. Step 3: Cross multiply
    25,177.44x = 37,769.24 × 8,542.23
  4. Step 4: Simplify right side
    25,177.44x = 322,633,535.01
  5. Step 5: Solve for x
    x = 322,633,535.01/25,177.44
  6. Step 6: Final answer
    x = 12,814.39

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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.