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Finding the Fourth Proportional to 26,096.60, 36,013.20 and 15,494.96

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Solution

The fourth proportional to 26,096.60, 36,013.20 and 15,494.96 is: 21,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096.60 : 36,013.20 = 15,494.96 : x
  2. Step 2: Convert to fraction form
    26,096.60/36,013.20 = 15,494.96/x
  3. Step 3: Cross multiply
    26,096.60x = 36,013.20 × 15,494.96
  4. Step 4: Simplify right side
    26,096.60x = 558,023,093.47
  5. Step 5: Solve for x
    x = 558,023,093.47/26,096.60
  6. Step 6: Final answer
    x = 21,382.98

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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.