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Finding the Fourth Proportional to 25,909.24, 38,863.86 and 7,441.24

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Solution

The fourth proportional to 25,909.24, 38,863.86 and 7,441.24 is: 11,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.24 : 38,863.86 = 7,441.24 : x
  2. Step 2: Convert to fraction form
    25,909.24/38,863.86 = 7,441.24/x
  3. Step 3: Cross multiply
    25,909.24x = 38,863.86 × 7,441.24
  4. Step 4: Simplify right side
    25,909.24x = 289,195,309.59
  5. Step 5: Solve for x
    x = 289,195,309.59/25,909.24
  6. Step 6: Final answer
    x = 11,161.86

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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.