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Finding the Fourth Proportional to 27,770.32, 38,324.16 and 15,195.20

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Solution

The fourth proportional to 27,770.32, 38,324.16 and 15,195.20 is: 20,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.32 : 38,324.16 = 15,195.20 : x
  2. Step 2: Convert to fraction form
    27,770.32/38,324.16 = 15,195.20/x
  3. Step 3: Cross multiply
    27,770.32x = 38,324.16 × 15,195.20
  4. Step 4: Simplify right side
    27,770.32x = 582,343,276.03
  5. Step 5: Solve for x
    x = 582,343,276.03/27,770.32
  6. Step 6: Final answer
    x = 20,969.99

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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.