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Finding the Fourth Proportional to 18,230.13, 27,342.71 and 7,144.57

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Solution

The fourth proportional to 18,230.13, 27,342.71 and 7,144.57 is: 10,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230.13 : 27,342.71 = 7,144.57 : x
  2. Step 2: Convert to fraction form
    18,230.13/27,342.71 = 7,144.57/x
  3. Step 3: Cross multiply
    18,230.13x = 27,342.71 × 7,144.57
  4. Step 4: Simplify right side
    18,230.13x = 195,351,733.15
  5. Step 5: Solve for x
    x = 195,351,733.15/18,230.13
  6. Step 6: Final answer
    x = 10,715.87

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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.