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Finding the Fourth Proportional to 18,142.78, 27,207.68 and 6,453.66

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Solution

The fourth proportional to 18,142.78, 27,207.68 and 6,453.66 is: 9,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.78 : 27,207.68 = 6,453.66 : x
  2. Step 2: Convert to fraction form
    18,142.78/27,207.68 = 6,453.66/x
  3. Step 3: Cross multiply
    18,142.78x = 27,207.68 × 6,453.66
  4. Step 4: Simplify right side
    18,142.78x = 175,589,116.11
  5. Step 5: Solve for x
    x = 175,589,116.11/18,142.78
  6. Step 6: Final answer
    x = 9,678.18

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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.