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Finding the Fourth Proportional to 18,428.38, 27,642.57 and 6,116.38

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Solution

The fourth proportional to 18,428.38, 27,642.57 and 6,116.38 is: 9,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428.38 : 27,642.57 = 6,116.38 : x
  2. Step 2: Convert to fraction form
    18,428.38/27,642.57 = 6,116.38/x
  3. Step 3: Cross multiply
    18,428.38x = 27,642.57 × 6,116.38
  4. Step 4: Simplify right side
    18,428.38x = 169,072,293.50
  5. Step 5: Solve for x
    x = 169,072,293.50/18,428.38
  6. Step 6: Final answer
    x = 9,174.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.