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Finding the Fourth Proportional to 22,774.32, 31,418.28 and 13,338.90

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Solution

The fourth proportional to 22,774.32, 31,418.28 and 13,338.90 is: 18,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.32 : 31,418.28 = 13,338.90 : x
  2. Step 2: Convert to fraction form
    22,774.32/31,418.28 = 13,338.90/x
  3. Step 3: Cross multiply
    22,774.32x = 31,418.28 × 13,338.90
  4. Step 4: Simplify right side
    22,774.32x = 419,085,295.09
  5. Step 5: Solve for x
    x = 419,085,295.09/22,774.32
  6. Step 6: Final answer
    x = 18,401.66

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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.