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Finding the Fourth Proportional to 27,769.96, 38,322.66 and 15,195.88

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Solution

The fourth proportional to 27,769.96, 38,322.66 and 15,195.88 is: 20,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.96 : 38,322.66 = 15,195.88 : x
  2. Step 2: Convert to fraction form
    27,769.96/38,322.66 = 15,195.88/x
  3. Step 3: Cross multiply
    27,769.96x = 38,322.66 × 15,195.88
  4. Step 4: Simplify right side
    27,769.96x = 582,346,542.64
  5. Step 5: Solve for x
    x = 582,346,542.64/27,769.96
  6. Step 6: Final answer
    x = 20,970.38

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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.