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Finding the Fourth Proportional to 26,737.22, 40,080.61 and 9,194.78

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Solution

The fourth proportional to 26,737.22, 40,080.61 and 9,194.78 is: 13,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,737.22 : 40,080.61 = 9,194.78 : x
  2. Step 2: Convert to fraction form
    26,737.22/40,080.61 = 9,194.78/x
  3. Step 3: Cross multiply
    26,737.22x = 40,080.61 × 9,194.78
  4. Step 4: Simplify right side
    26,737.22x = 368,532,391.22
  5. Step 5: Solve for x
    x = 368,532,391.22/26,737.22
  6. Step 6: Final answer
    x = 13,783.50

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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.