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Finding the Fourth Proportional to 25,600.86, 35,344.35 and 22,760.39

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Solution

The fourth proportional to 25,600.86, 35,344.35 and 22,760.39 is: 31,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.86 : 35,344.35 = 22,760.39 : x
  2. Step 2: Convert to fraction form
    25,600.86/35,344.35 = 22,760.39/x
  3. Step 3: Cross multiply
    25,600.86x = 35,344.35 × 22,760.39
  4. Step 4: Simplify right side
    25,600.86x = 804,451,193.31
  5. Step 5: Solve for x
    x = 804,451,193.31/25,600.86
  6. Step 6: Final answer
    x = 31,422.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.