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Finding the Fourth Proportional to 25,149.40, 37,727.70 and 8,506.60

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Solution

The fourth proportional to 25,149.40, 37,727.70 and 8,506.60 is: 12,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.40 : 37,727.70 = 8,506.60 : x
  2. Step 2: Convert to fraction form
    25,149.40/37,727.70 = 8,506.60/x
  3. Step 3: Cross multiply
    25,149.40x = 37,727.70 × 8,506.60
  4. Step 4: Simplify right side
    25,149.40x = 320,934,452.82
  5. Step 5: Solve for x
    x = 320,934,452.82/25,149.40
  6. Step 6: Final answer
    x = 12,761.12

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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.