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Finding the Fourth Proportional to 18,578.92, 27,862.42 and 6,095.56

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Solution

The fourth proportional to 18,578.92, 27,862.42 and 6,095.56 is: 9,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.92 : 27,862.42 = 6,095.56 : x
  2. Step 2: Convert to fraction form
    18,578.92/27,862.42 = 6,095.56/x
  3. Step 3: Cross multiply
    18,578.92x = 27,862.42 × 6,095.56
  4. Step 4: Simplify right side
    18,578.92x = 169,837,052.86
  5. Step 5: Solve for x
    x = 169,837,052.86/18,578.92
  6. Step 6: Final answer
    x = 9,141.38

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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.