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Finding the Fourth Proportional to 26,231.22, 36,212.50 and 17,778

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Solution

The fourth proportional to 26,231.22, 36,212.50 and 17,778 is: 24,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,231.22 : 36,212.50 = 17,778 : x
  2. Step 2: Convert to fraction form
    26,231.22/36,212.50 = 17,778/x
  3. Step 3: Cross multiply
    26,231.22x = 36,212.50 × 17,778
  4. Step 4: Simplify right side
    26,231.22x = 643,785,825
  5. Step 5: Solve for x
    x = 643,785,825/26,231.22
  6. Step 6: Final answer
    x = 24,542.73

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