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Finding the Fourth Proportional to 16,232.72, 22,401.48 and 9,523.48

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Solution

The fourth proportional to 16,232.72, 22,401.48 and 9,523.48 is: 13,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.72 : 22,401.48 = 9,523.48 : x
  2. Step 2: Convert to fraction form
    16,232.72/22,401.48 = 9,523.48/x
  3. Step 3: Cross multiply
    16,232.72x = 22,401.48 × 9,523.48
  4. Step 4: Simplify right side
    16,232.72x = 213,340,046.75
  5. Step 5: Solve for x
    x = 213,340,046.75/16,232.72
  6. Step 6: Final answer
    x = 13,142.59

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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.