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Finding the Fourth Proportional to 25,617.60, 38,419.20 and 8,092.80

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Solution

The fourth proportional to 25,617.60, 38,419.20 and 8,092.80 is: 12,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,617.60 : 38,419.20 = 8,092.80 : x
  2. Step 2: Convert to fraction form
    25,617.60/38,419.20 = 8,092.80/x
  3. Step 3: Cross multiply
    25,617.60x = 38,419.20 × 8,092.80
  4. Step 4: Simplify right side
    25,617.60x = 310,918,901.76
  5. Step 5: Solve for x
    x = 310,918,901.76/25,617.60
  6. Step 6: Final answer
    x = 12,136.93

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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.