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Finding the Fourth Proportional to 18,206.15, 27,314.64 and 5,727.90

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Solution

The fourth proportional to 18,206.15, 27,314.64 and 5,727.90 is: 8,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.15 : 27,314.64 = 5,727.90 : x
  2. Step 2: Convert to fraction form
    18,206.15/27,314.64 = 5,727.90/x
  3. Step 3: Cross multiply
    18,206.15x = 27,314.64 × 5,727.90
  4. Step 4: Simplify right side
    18,206.15x = 156,455,526.46
  5. Step 5: Solve for x
    x = 156,455,526.46/18,206.15
  6. Step 6: Final answer
    x = 8,593.56

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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.