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Finding the Fourth Proportional to 22,225, 30,638.82 and 15,142.36

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Solution

The fourth proportional to 22,225, 30,638.82 and 15,142.36 is: 20,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,225 : 30,638.82 = 15,142.36 : x
  2. Step 2: Convert to fraction form
    22,225/30,638.82 = 15,142.36/x
  3. Step 3: Cross multiply
    22,225x = 30,638.82 × 15,142.36
  4. Step 4: Simplify right side
    22,225x = 463,944,042.42
  5. Step 5: Solve for x
    x = 463,944,042.42/22,225
  6. Step 6: Final answer
    x = 20,874.87

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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.