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Finding the Fourth Proportional to 18,006, 27,009.12 and 5,694

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Solution

The fourth proportional to 18,006, 27,009.12 and 5,694 is: 8,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,006 : 27,009.12 = 5,694 : x
  2. Step 2: Convert to fraction form
    18,006/27,009.12 = 5,694/x
  3. Step 3: Cross multiply
    18,006x = 27,009.12 × 5,694
  4. Step 4: Simplify right side
    18,006x = 153,789,929.28
  5. Step 5: Solve for x
    x = 153,789,929.28/18,006
  6. Step 6: Final answer
    x = 8,541.04

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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.