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Finding the Fourth Proportional to 27,709.38, 38,234.46 and 15,772.92

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Solution

The fourth proportional to 27,709.38, 38,234.46 and 15,772.92 is: 21,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.38 : 38,234.46 = 15,772.92 : x
  2. Step 2: Convert to fraction form
    27,709.38/38,234.46 = 15,772.92/x
  3. Step 3: Cross multiply
    27,709.38x = 38,234.46 × 15,772.92
  4. Step 4: Simplify right side
    27,709.38x = 603,069,078.82
  5. Step 5: Solve for x
    x = 603,069,078.82/27,709.38
  6. Step 6: Final answer
    x = 21,764.08

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Why These Related Problems?

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