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Finding the Fourth Proportional to 27,722, 38,257.17 and 15,147.56

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Solution

The fourth proportional to 27,722, 38,257.17 and 15,147.56 is: 20,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722 : 38,257.17 = 15,147.56 : x
  2. Step 2: Convert to fraction form
    27,722/38,257.17 = 15,147.56/x
  3. Step 3: Cross multiply
    27,722x = 38,257.17 × 15,147.56
  4. Step 4: Simplify right side
    27,722x = 579,502,778.01
  5. Step 5: Solve for x
    x = 579,502,778.01/27,722
  6. Step 6: Final answer
    x = 20,904.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.