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Finding the Fourth Proportional to 22,511.70, 31,067.22 and 13,561.98

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Solution

The fourth proportional to 22,511.70, 31,067.22 and 13,561.98 is: 18,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.70 : 31,067.22 = 13,561.98 : x
  2. Step 2: Convert to fraction form
    22,511.70/31,067.22 = 13,561.98/x
  3. Step 3: Cross multiply
    22,511.70x = 31,067.22 × 13,561.98
  4. Step 4: Simplify right side
    22,511.70x = 421,333,016.30
  5. Step 5: Solve for x
    x = 421,333,016.30/22,511.70
  6. Step 6: Final answer
    x = 18,716.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.