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Finding the Fourth Proportional to 22,588.26, 31,168.17 and 14,198.82

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Solution

The fourth proportional to 22,588.26, 31,168.17 and 14,198.82 is: 19,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588.26 : 31,168.17 = 14,198.82 : x
  2. Step 2: Convert to fraction form
    22,588.26/31,168.17 = 14,198.82/x
  3. Step 3: Cross multiply
    22,588.26x = 31,168.17 × 14,198.82
  4. Step 4: Simplify right side
    22,588.26x = 442,551,235.56
  5. Step 5: Solve for x
    x = 442,551,235.56/22,588.26
  6. Step 6: Final answer
    x = 19,592.09

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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.