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Finding the Fourth Proportional to 27,742.41, 38,284.56 and 15,167.16

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Solution

The fourth proportional to 27,742.41, 38,284.56 and 15,167.16 is: 20,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.41 : 38,284.56 = 15,167.16 : x
  2. Step 2: Convert to fraction form
    27,742.41/38,284.56 = 15,167.16/x
  3. Step 3: Cross multiply
    27,742.41x = 38,284.56 × 15,167.16
  4. Step 4: Simplify right side
    27,742.41x = 580,668,047.05
  5. Step 5: Solve for x
    x = 580,668,047.05/27,742.41
  6. Step 6: Final answer
    x = 20,930.70

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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.