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Finding the Fourth Proportional to 27,814.30, 41,721.08 and 6,754.50

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Solution

The fourth proportional to 27,814.30, 41,721.08 and 6,754.50 is: 10,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.30 : 41,721.08 = 6,754.50 : x
  2. Step 2: Convert to fraction form
    27,814.30/41,721.08 = 6,754.50/x
  3. Step 3: Cross multiply
    27,814.30x = 41,721.08 × 6,754.50
  4. Step 4: Simplify right side
    27,814.30x = 281,805,001.09
  5. Step 5: Solve for x
    x = 281,805,001.09/27,814.30
  6. Step 6: Final answer
    x = 10,131.66

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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.