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Finding the Fourth Proportional to 27,657.65, 41,486.46 and 6,881.15

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Solution

The fourth proportional to 27,657.65, 41,486.46 and 6,881.15 is: 10,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.65 : 41,486.46 = 6,881.15 : x
  2. Step 2: Convert to fraction form
    27,657.65/41,486.46 = 6,881.15/x
  3. Step 3: Cross multiply
    27,657.65x = 41,486.46 × 6,881.15
  4. Step 4: Simplify right side
    27,657.65x = 285,474,554.23
  5. Step 5: Solve for x
    x = 285,474,554.23/27,657.65
  6. Step 6: Final answer
    x = 10,321.72

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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.