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Finding the Fourth Proportional to 27,722.92, 38,255.84 and 15,147.68

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Solution

The fourth proportional to 27,722.92, 38,255.84 and 15,147.68 is: 20,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.92 : 38,255.84 = 15,147.68 : x
  2. Step 2: Convert to fraction form
    27,722.92/38,255.84 = 15,147.68/x
  3. Step 3: Cross multiply
    27,722.92x = 38,255.84 × 15,147.68
  4. Step 4: Simplify right side
    27,722.92x = 579,487,222.45
  5. Step 5: Solve for x
    x = 579,487,222.45/27,722.92
  6. Step 6: Final answer
    x = 20,902.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.