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Finding the Fourth Proportional to 18,648.87, 27,969.24 and 6,165.94

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Solution

The fourth proportional to 18,648.87, 27,969.24 and 6,165.94 is: 9,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.87 : 27,969.24 = 6,165.94 : x
  2. Step 2: Convert to fraction form
    18,648.87/27,969.24 = 6,165.94/x
  3. Step 3: Cross multiply
    18,648.87x = 27,969.24 × 6,165.94
  4. Step 4: Simplify right side
    18,648.87x = 172,456,655.69
  5. Step 5: Solve for x
    x = 172,456,655.69/18,648.87
  6. Step 6: Final answer
    x = 9,247.57

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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.