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Finding the Fourth Proportional to 25,860.74, 38,791.96 and 7,142.18

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Solution

The fourth proportional to 25,860.74, 38,791.96 and 7,142.18 is: 10,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860.74 : 38,791.96 = 7,142.18 : x
  2. Step 2: Convert to fraction form
    25,860.74/38,791.96 = 7,142.18/x
  3. Step 3: Cross multiply
    25,860.74x = 38,791.96 × 7,142.18
  4. Step 4: Simplify right side
    25,860.74x = 277,059,160.87
  5. Step 5: Solve for x
    x = 277,059,160.87/25,860.74
  6. Step 6: Final answer
    x = 10,713.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.