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Finding the Fourth Proportional to 18,142.68, 27,214.17 and 5,492.52

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Solution

The fourth proportional to 18,142.68, 27,214.17 and 5,492.52 is: 8,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.68 : 27,214.17 = 5,492.52 : x
  2. Step 2: Convert to fraction form
    18,142.68/27,214.17 = 5,492.52/x
  3. Step 3: Cross multiply
    18,142.68x = 27,214.17 × 5,492.52
  4. Step 4: Simplify right side
    18,142.68x = 149,474,373.01
  5. Step 5: Solve for x
    x = 149,474,373.01/18,142.68
  6. Step 6: Final answer
    x = 8,238.83

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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.