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Finding the Fourth Proportional to 25,468.67, 38,198.81 and 6,749.87

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Solution

The fourth proportional to 25,468.67, 38,198.81 and 6,749.87 is: 10,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468.67 : 38,198.81 = 6,749.87 : x
  2. Step 2: Convert to fraction form
    25,468.67/38,198.81 = 6,749.87/x
  3. Step 3: Cross multiply
    25,468.67x = 38,198.81 × 6,749.87
  4. Step 4: Simplify right side
    25,468.67x = 257,836,776.91
  5. Step 5: Solve for x
    x = 257,836,776.91/25,468.67
  6. Step 6: Final answer
    x = 10,123.69

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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.