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Finding the Fourth Proportional to 22,755.84, 31,401.12 and 13,324.32

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Solution

The fourth proportional to 22,755.84, 31,401.12 and 13,324.32 is: 18,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.84 : 31,401.12 = 13,324.32 : x
  2. Step 2: Convert to fraction form
    22,755.84/31,401.12 = 13,324.32/x
  3. Step 3: Cross multiply
    22,755.84x = 31,401.12 × 13,324.32
  4. Step 4: Simplify right side
    22,755.84x = 418,398,571.24
  5. Step 5: Solve for x
    x = 418,398,571.24/22,755.84
  6. Step 6: Final answer
    x = 18,386.43

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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.