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Finding the Fourth Proportional to 25,613.90, 38,425.41 and 7,844.19

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Solution

The fourth proportional to 25,613.90, 38,425.41 and 7,844.19 is: 11,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.90 : 38,425.41 = 7,844.19 : x
  2. Step 2: Convert to fraction form
    25,613.90/38,425.41 = 7,844.19/x
  3. Step 3: Cross multiply
    25,613.90x = 38,425.41 × 7,844.19
  4. Step 4: Simplify right side
    25,613.90x = 301,416,310.98
  5. Step 5: Solve for x
    x = 301,416,310.98/25,613.90
  6. Step 6: Final answer
    x = 11,767.69

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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.