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Finding the Fourth Proportional to 27,770.38, 38,323.06 and 15,195.13

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Solution

The fourth proportional to 27,770.38, 38,323.06 and 15,195.13 is: 20,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.38 : 38,323.06 = 15,195.13 : x
  2. Step 2: Convert to fraction form
    27,770.38/38,323.06 = 15,195.13/x
  3. Step 3: Cross multiply
    27,770.38x = 38,323.06 × 15,195.13
  4. Step 4: Simplify right side
    27,770.38x = 582,323,744.90
  5. Step 5: Solve for x
    x = 582,323,744.90/27,770.38
  6. Step 6: Final answer
    x = 20,969.24

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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.