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Finding the Fourth Proportional to 27,012.52, 40,524.80 and 8,294.19

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Solution

The fourth proportional to 27,012.52, 40,524.80 and 8,294.19 is: 12,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,012.52 : 40,524.80 = 8,294.19 : x
  2. Step 2: Convert to fraction form
    27,012.52/40,524.80 = 8,294.19/x
  3. Step 3: Cross multiply
    27,012.52x = 40,524.80 × 8,294.19
  4. Step 4: Simplify right side
    27,012.52x = 336,120,146.82
  5. Step 5: Solve for x
    x = 336,120,146.82/27,012.52
  6. Step 6: Final answer
    x = 12,443.12

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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.