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Finding the Fourth Proportional to 27,693.78, 38,218.20 and 15,119.34

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Solution

The fourth proportional to 27,693.78, 38,218.20 and 15,119.34 is: 20,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.78 : 38,218.20 = 15,119.34 : x
  2. Step 2: Convert to fraction form
    27,693.78/38,218.20 = 15,119.34/x
  3. Step 3: Cross multiply
    27,693.78x = 38,218.20 × 15,119.34
  4. Step 4: Simplify right side
    27,693.78x = 577,833,959.99
  5. Step 5: Solve for x
    x = 577,833,959.99/27,693.78
  6. Step 6: Final answer
    x = 20,865.12

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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.