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Finding the Fourth Proportional to 18,562.72, 27,845.16 and 6,084.04

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Solution

The fourth proportional to 18,562.72, 27,845.16 and 6,084.04 is: 9,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.72 : 27,845.16 = 6,084.04 : x
  2. Step 2: Convert to fraction form
    18,562.72/27,845.16 = 6,084.04/x
  3. Step 3: Cross multiply
    18,562.72x = 27,845.16 × 6,084.04
  4. Step 4: Simplify right side
    18,562.72x = 169,411,067.25
  5. Step 5: Solve for x
    x = 169,411,067.25/18,562.72
  6. Step 6: Final answer
    x = 9,126.41

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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.