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Finding the Fourth Proportional to 27,456.80, 41,184.84 and 6,680.32

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Solution

The fourth proportional to 27,456.80, 41,184.84 and 6,680.32 is: 10,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456.80 : 41,184.84 = 6,680.32 : x
  2. Step 2: Convert to fraction form
    27,456.80/41,184.84 = 6,680.32/x
  3. Step 3: Cross multiply
    27,456.80x = 41,184.84 × 6,680.32
  4. Step 4: Simplify right side
    27,456.80x = 275,127,910.35
  5. Step 5: Solve for x
    x = 275,127,910.35/27,456.80
  6. Step 6: Final answer
    x = 10,020.39

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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.