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Finding the Fourth Proportional to 25,759.24, 38,641.02 and 8,228.68

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Solution

The fourth proportional to 25,759.24, 38,641.02 and 8,228.68 is: 12,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759.24 : 38,641.02 = 8,228.68 : x
  2. Step 2: Convert to fraction form
    25,759.24/38,641.02 = 8,228.68/x
  3. Step 3: Cross multiply
    25,759.24x = 38,641.02 × 8,228.68
  4. Step 4: Simplify right side
    25,759.24x = 317,964,588.45
  5. Step 5: Solve for x
    x = 317,964,588.45/25,759.24
  6. Step 6: Final answer
    x = 12,343.71

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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.