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Finding the Fourth Proportional to 18,586, 27,864.26 and 6,737.92

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Solution

The fourth proportional to 18,586, 27,864.26 and 6,737.92 is: 10,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586 : 27,864.26 = 6,737.92 : x
  2. Step 2: Convert to fraction form
    18,586/27,864.26 = 6,737.92/x
  3. Step 3: Cross multiply
    18,586x = 27,864.26 × 6,737.92
  4. Step 4: Simplify right side
    18,586x = 187,747,154.74
  5. Step 5: Solve for x
    x = 187,747,154.74/18,586
  6. Step 6: Final answer
    x = 10,101.54

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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.