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Finding the Fourth Proportional to 25,861.66, 38,791.72 and 7,142.84

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Solution

The fourth proportional to 25,861.66, 38,791.72 and 7,142.84 is: 10,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861.66 : 38,791.72 = 7,142.84 : x
  2. Step 2: Convert to fraction form
    25,861.66/38,791.72 = 7,142.84/x
  3. Step 3: Cross multiply
    25,861.66x = 38,791.72 × 7,142.84
  4. Step 4: Simplify right side
    25,861.66x = 277,083,049.28
  5. Step 5: Solve for x
    x = 277,083,049.28/25,861.66
  6. Step 6: Final answer
    x = 10,714.05

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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.