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Finding the Fourth Proportional to 22,794.70, 31,431.89 and 14,822.14

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Solution

The fourth proportional to 22,794.70, 31,431.89 and 14,822.14 is: 20,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.70 : 31,431.89 = 14,822.14 : x
  2. Step 2: Convert to fraction form
    22,794.70/31,431.89 = 14,822.14/x
  3. Step 3: Cross multiply
    22,794.70x = 31,431.89 × 14,822.14
  4. Step 4: Simplify right side
    22,794.70x = 465,887,874.04
  5. Step 5: Solve for x
    x = 465,887,874.04/22,794.70
  6. Step 6: Final answer
    x = 20,438.43

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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.