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Finding the Fourth Proportional to 22,472.70, 31,012.41 and 12,401.43

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Solution

The fourth proportional to 22,472.70, 31,012.41 and 12,401.43 is: 17,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.70 : 31,012.41 = 12,401.43 : x
  2. Step 2: Convert to fraction form
    22,472.70/31,012.41 = 12,401.43/x
  3. Step 3: Cross multiply
    22,472.70x = 31,012.41 × 12,401.43
  4. Step 4: Simplify right side
    22,472.70x = 384,598,249.18
  5. Step 5: Solve for x
    x = 384,598,249.18/22,472.70
  6. Step 6: Final answer
    x = 17,114.02

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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.