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Finding the Fourth Proportional to 26,002.80, 38,917.80 and 18,226.80

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Solution

The fourth proportional to 26,002.80, 38,917.80 and 18,226.80 is: 27,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002.80 : 38,917.80 = 18,226.80 : x
  2. Step 2: Convert to fraction form
    26,002.80/38,917.80 = 18,226.80/x
  3. Step 3: Cross multiply
    26,002.80x = 38,917.80 × 18,226.80
  4. Step 4: Simplify right side
    26,002.80x = 709,346,957.04
  5. Step 5: Solve for x
    x = 709,346,957.04/26,002.80
  6. Step 6: Final answer
    x = 27,279.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.