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Finding the Fourth Proportional to 17,677.38, 26,514.67 and 10,277.11

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Solution

The fourth proportional to 17,677.38, 26,514.67 and 10,277.11 is: 15,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.38 : 26,514.67 = 10,277.11 : x
  2. Step 2: Convert to fraction form
    17,677.38/26,514.67 = 10,277.11/x
  3. Step 3: Cross multiply
    17,677.38x = 26,514.67 × 10,277.11
  4. Step 4: Simplify right side
    17,677.38x = 272,494,180.20
  5. Step 5: Solve for x
    x = 272,494,180.20/17,677.38
  6. Step 6: Final answer
    x = 15,414.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.