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Finding the Fourth Proportional to 27,614.40, 41,384.64 and 10,067.68

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Solution

The fourth proportional to 27,614.40, 41,384.64 and 10,067.68 is: 15,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.40 : 41,384.64 = 10,067.68 : x
  2. Step 2: Convert to fraction form
    27,614.40/41,384.64 = 10,067.68/x
  3. Step 3: Cross multiply
    27,614.40x = 41,384.64 × 10,067.68
  4. Step 4: Simplify right side
    27,614.40x = 416,647,312.44
  5. Step 5: Solve for x
    x = 416,647,312.44/27,614.40
  6. Step 6: Final answer
    x = 15,088.05

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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.