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Finding the Fourth Proportional to 27,857.90, 41,803.86 and 12,067.14

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Solution

The fourth proportional to 27,857.90, 41,803.86 and 12,067.14 is: 18,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.90 : 41,803.86 = 12,067.14 : x
  2. Step 2: Convert to fraction form
    27,857.90/41,803.86 = 12,067.14/x
  3. Step 3: Cross multiply
    27,857.90x = 41,803.86 × 12,067.14
  4. Step 4: Simplify right side
    27,857.90x = 504,453,031.16
  5. Step 5: Solve for x
    x = 504,453,031.16/27,857.90
  6. Step 6: Final answer
    x = 18,108.08

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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.