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Finding the Fourth Proportional to 22,876.92, 31,571.56 and 13,317

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Solution

The fourth proportional to 22,876.92, 31,571.56 and 13,317 is: 18,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.92 : 31,571.56 = 13,317 : x
  2. Step 2: Convert to fraction form
    22,876.92/31,571.56 = 13,317/x
  3. Step 3: Cross multiply
    22,876.92x = 31,571.56 × 13,317
  4. Step 4: Simplify right side
    22,876.92x = 420,438,464.52
  5. Step 5: Solve for x
    x = 420,438,464.52/22,876.92
  6. Step 6: Final answer
    x = 18,378.28

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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.