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Finding the Fourth Proportional to 18,232.30, 27,346.14 and 7,146.78

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Solution

The fourth proportional to 18,232.30, 27,346.14 and 7,146.78 is: 10,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.30 : 27,346.14 = 7,146.78 : x
  2. Step 2: Convert to fraction form
    18,232.30/27,346.14 = 7,146.78/x
  3. Step 3: Cross multiply
    18,232.30x = 27,346.14 × 7,146.78
  4. Step 4: Simplify right side
    18,232.30x = 195,436,743.88
  5. Step 5: Solve for x
    x = 195,436,743.88/18,232.30
  6. Step 6: Final answer
    x = 10,719.26

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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.