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Finding the Fourth Proportional to 25,132.84, 37,700.30 and 8,494.56

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Solution

The fourth proportional to 25,132.84, 37,700.30 and 8,494.56 is: 12,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132.84 : 37,700.30 = 8,494.56 : x
  2. Step 2: Convert to fraction form
    25,132.84/37,700.30 = 8,494.56/x
  3. Step 3: Cross multiply
    25,132.84x = 37,700.30 × 8,494.56
  4. Step 4: Simplify right side
    25,132.84x = 320,247,481.60
  5. Step 5: Solve for x
    x = 320,247,481.60/25,132.84
  6. Step 6: Final answer
    x = 12,742.19

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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.