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Finding the Fourth Proportional to 27,742.50, 38,284.65 and 15,167.25

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Solution

The fourth proportional to 27,742.50, 38,284.65 and 15,167.25 is: 20,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.50 : 38,284.65 = 15,167.25 : x
  2. Step 2: Convert to fraction form
    27,742.50/38,284.65 = 15,167.25/x
  3. Step 3: Cross multiply
    27,742.50x = 38,284.65 × 15,167.25
  4. Step 4: Simplify right side
    27,742.50x = 580,672,857.71
  5. Step 5: Solve for x
    x = 580,672,857.71/27,742.50
  6. Step 6: Final answer
    x = 20,930.81

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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.