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Finding the Fourth Proportional to 25,098.67, 37,648.23 and 8,231.43

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Solution

The fourth proportional to 25,098.67, 37,648.23 and 8,231.43 is: 12,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.67 : 37,648.23 = 8,231.43 : x
  2. Step 2: Convert to fraction form
    25,098.67/37,648.23 = 8,231.43/x
  3. Step 3: Cross multiply
    25,098.67x = 37,648.23 × 8,231.43
  4. Step 4: Simplify right side
    25,098.67x = 309,898,769.87
  5. Step 5: Solve for x
    x = 309,898,769.87/25,098.67
  6. Step 6: Final answer
    x = 12,347.22

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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.