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Finding the Fourth Proportional to 27,634.98, 41,467.14 and 12,053.82

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Solution

The fourth proportional to 27,634.98, 41,467.14 and 12,053.82 is: 18,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.98 : 41,467.14 = 12,053.82 : x
  2. Step 2: Convert to fraction form
    27,634.98/41,467.14 = 12,053.82/x
  3. Step 3: Cross multiply
    27,634.98x = 41,467.14 × 12,053.82
  4. Step 4: Simplify right side
    27,634.98x = 499,837,441.47
  5. Step 5: Solve for x
    x = 499,837,441.47/27,634.98
  6. Step 6: Final answer
    x = 18,087.13

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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.