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Finding the Fourth Proportional to 27,596.28, 38,083.56 and 15,021

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Solution

The fourth proportional to 27,596.28, 38,083.56 and 15,021 is: 20,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.28 : 38,083.56 = 15,021 : x
  2. Step 2: Convert to fraction form
    27,596.28/38,083.56 = 15,021/x
  3. Step 3: Cross multiply
    27,596.28x = 38,083.56 × 15,021
  4. Step 4: Simplify right side
    27,596.28x = 572,053,154.76
  5. Step 5: Solve for x
    x = 572,053,154.76/27,596.28
  6. Step 6: Final answer
    x = 20,729.36

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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.