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Finding the Fourth Proportional to 25,134.48, 37,695.49 and 8,494.14

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Solution

The fourth proportional to 25,134.48, 37,695.49 and 8,494.14 is: 12,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.48 : 37,695.49 = 8,494.14 : x
  2. Step 2: Convert to fraction form
    25,134.48/37,695.49 = 8,494.14/x
  3. Step 3: Cross multiply
    25,134.48x = 37,695.49 × 8,494.14
  4. Step 4: Simplify right side
    25,134.48x = 320,190,769.43
  5. Step 5: Solve for x
    x = 320,190,769.43/25,134.48
  6. Step 6: Final answer
    x = 12,739.10

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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.