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Finding the Fourth Proportional to 25,371.74, 38,061.26 and 7,842.94

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Solution

The fourth proportional to 25,371.74, 38,061.26 and 7,842.94 is: 11,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371.74 : 38,061.26 = 7,842.94 : x
  2. Step 2: Convert to fraction form
    25,371.74/38,061.26 = 7,842.94/x
  3. Step 3: Cross multiply
    25,371.74x = 38,061.26 × 7,842.94
  4. Step 4: Simplify right side
    25,371.74x = 298,512,073.55
  5. Step 5: Solve for x
    x = 298,512,073.55/25,371.74
  6. Step 6: Final answer
    x = 11,765.53

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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.