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Finding the Fourth Proportional to 27,310.15, 40,981.14 and 11,514.21

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Solution

The fourth proportional to 27,310.15, 40,981.14 and 11,514.21 is: 17,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310.15 : 40,981.14 = 11,514.21 : x
  2. Step 2: Convert to fraction form
    27,310.15/40,981.14 = 11,514.21/x
  3. Step 3: Cross multiply
    27,310.15x = 40,981.14 × 11,514.21
  4. Step 4: Simplify right side
    27,310.15x = 471,865,394.43
  5. Step 5: Solve for x
    x = 471,865,394.43/27,310.15
  6. Step 6: Final answer
    x = 17,278.03

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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.