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Finding the Fourth Proportional to 27,614.60, 41,423.25 and 7,896.06

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Solution

The fourth proportional to 27,614.60, 41,423.25 and 7,896.06 is: 11,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.60 : 41,423.25 = 7,896.06 : x
  2. Step 2: Convert to fraction form
    27,614.60/41,423.25 = 7,896.06/x
  3. Step 3: Cross multiply
    27,614.60x = 41,423.25 × 7,896.06
  4. Step 4: Simplify right side
    27,614.60x = 327,080,467.40
  5. Step 5: Solve for x
    x = 327,080,467.40/27,614.60
  6. Step 6: Final answer
    x = 11,844.48

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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.