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Finding the Fourth Proportional to 27,238.80, 40,874.52 and 11,656.44

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Solution

The fourth proportional to 27,238.80, 40,874.52 and 11,656.44 is: 17,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.80 : 40,874.52 = 11,656.44 : x
  2. Step 2: Convert to fraction form
    27,238.80/40,874.52 = 11,656.44/x
  3. Step 3: Cross multiply
    27,238.80x = 40,874.52 × 11,656.44
  4. Step 4: Simplify right side
    27,238.80x = 476,451,389.91
  5. Step 5: Solve for x
    x = 476,451,389.91/27,238.80
  6. Step 6: Final answer
    x = 17,491.64

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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.