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Finding the Fourth Proportional to 25,794.42, 38,691.68 and 7,074.63

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Solution

The fourth proportional to 25,794.42, 38,691.68 and 7,074.63 is: 10,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.42 : 38,691.68 = 7,074.63 : x
  2. Step 2: Convert to fraction form
    25,794.42/38,691.68 = 7,074.63/x
  3. Step 3: Cross multiply
    25,794.42x = 38,691.68 × 7,074.63
  4. Step 4: Simplify right side
    25,794.42x = 273,729,091.25
  5. Step 5: Solve for x
    x = 273,729,091.25/25,794.42
  6. Step 6: Final answer
    x = 10,611.95

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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.