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Finding the Fourth Proportional to 22,472.43, 31,012.19 and 12,401.25

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Solution

The fourth proportional to 22,472.43, 31,012.19 and 12,401.25 is: 17,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.43 : 31,012.19 = 12,401.25 : x
  2. Step 2: Convert to fraction form
    22,472.43/31,012.19 = 12,401.25/x
  3. Step 3: Cross multiply
    22,472.43x = 31,012.19 × 12,401.25
  4. Step 4: Simplify right side
    22,472.43x = 384,589,921.24
  5. Step 5: Solve for x
    x = 384,589,921.24/22,472.43
  6. Step 6: Final answer
    x = 17,113.86

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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.