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Finding the Fourth Proportional to 25,806.80, 38,710.20 and 8,289.20

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Solution

The fourth proportional to 25,806.80, 38,710.20 and 8,289.20 is: 12,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.80 : 38,710.20 = 8,289.20 : x
  2. Step 2: Convert to fraction form
    25,806.80/38,710.20 = 8,289.20/x
  3. Step 3: Cross multiply
    25,806.80x = 38,710.20 × 8,289.20
  4. Step 4: Simplify right side
    25,806.80x = 320,876,589.84
  5. Step 5: Solve for x
    x = 320,876,589.84/25,806.80
  6. Step 6: Final answer
    x = 12,433.80

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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.