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Finding the Fourth Proportional to 27,745.71, 38,289.07 and 15,170.46

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Solution

The fourth proportional to 27,745.71, 38,289.07 and 15,170.46 is: 20,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.71 : 38,289.07 = 15,170.46 : x
  2. Step 2: Convert to fraction form
    27,745.71/38,289.07 = 15,170.46/x
  3. Step 3: Cross multiply
    27,745.71x = 38,289.07 × 15,170.46
  4. Step 4: Simplify right side
    27,745.71x = 580,862,613.43
  5. Step 5: Solve for x
    x = 580,862,613.43/27,745.71
  6. Step 6: Final answer
    x = 20,935.23

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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.