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Finding the Fourth Proportional to 25,134.98, 37,696.25 and 8,494.65

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Solution

The fourth proportional to 25,134.98, 37,696.25 and 8,494.65 is: 12,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.98 : 37,696.25 = 8,494.65 : x
  2. Step 2: Convert to fraction form
    25,134.98/37,696.25 = 8,494.65/x
  3. Step 3: Cross multiply
    25,134.98x = 37,696.25 × 8,494.65
  4. Step 4: Simplify right side
    25,134.98x = 320,216,407.59
  5. Step 5: Solve for x
    x = 320,216,407.59/25,134.98
  6. Step 6: Final answer
    x = 12,739.87

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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.