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Finding the Fourth Proportional to 22,523.92, 33,782.64 and 13,168.24

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Solution

The fourth proportional to 22,523.92, 33,782.64 and 13,168.24 is: 19,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.92 : 33,782.64 = 13,168.24 : x
  2. Step 2: Convert to fraction form
    22,523.92/33,782.64 = 13,168.24/x
  3. Step 3: Cross multiply
    22,523.92x = 33,782.64 × 13,168.24
  4. Step 4: Simplify right side
    22,523.92x = 444,857,911.35
  5. Step 5: Solve for x
    x = 444,857,911.35/22,523.92
  6. Step 6: Final answer
    x = 19,750.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.