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Finding the Fourth Proportional to 16,232.92, 22,401.82 and 9,522.84

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Solution

The fourth proportional to 16,232.92, 22,401.82 and 9,522.84 is: 13,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.92 : 22,401.82 = 9,522.84 : x
  2. Step 2: Convert to fraction form
    16,232.92/22,401.82 = 9,522.84/x
  3. Step 3: Cross multiply
    16,232.92x = 22,401.82 × 9,522.84
  4. Step 4: Simplify right side
    16,232.92x = 213,328,947.57
  5. Step 5: Solve for x
    x = 213,328,947.57/16,232.92
  6. Step 6: Final answer
    x = 13,141.75

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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.