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Finding the Fourth Proportional to 27,706.38, 38,230.34 and 15,769.92

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Solution

The fourth proportional to 27,706.38, 38,230.34 and 15,769.92 is: 21,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.38 : 38,230.34 = 15,769.92 : x
  2. Step 2: Convert to fraction form
    27,706.38/38,230.34 = 15,769.92/x
  3. Step 3: Cross multiply
    27,706.38x = 38,230.34 × 15,769.92
  4. Step 4: Simplify right side
    27,706.38x = 602,889,403.37
  5. Step 5: Solve for x
    x = 602,889,403.37/27,706.38
  6. Step 6: Final answer
    x = 21,759.95

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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.