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Finding the Fourth Proportional to 26,194.73, 36,149.54 and 14,258.87

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Solution

The fourth proportional to 26,194.73, 36,149.54 and 14,258.87 is: 19,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,194.73 : 36,149.54 = 14,258.87 : x
  2. Step 2: Convert to fraction form
    26,194.73/36,149.54 = 14,258.87/x
  3. Step 3: Cross multiply
    26,194.73x = 36,149.54 × 14,258.87
  4. Step 4: Simplify right side
    26,194.73x = 515,451,339.38
  5. Step 5: Solve for x
    x = 515,451,339.38/26,194.73
  6. Step 6: Final answer
    x = 19,677.68

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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.