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Finding the Fourth Proportional to 22,016.20, 33,024.30 and 11,648.20

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Solution

The fourth proportional to 22,016.20, 33,024.30 and 11,648.20 is: 17,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016.20 : 33,024.30 = 11,648.20 : x
  2. Step 2: Convert to fraction form
    22,016.20/33,024.30 = 11,648.20/x
  3. Step 3: Cross multiply
    22,016.20x = 33,024.30 × 11,648.20
  4. Step 4: Simplify right side
    22,016.20x = 384,673,651.26
  5. Step 5: Solve for x
    x = 384,673,651.26/22,016.20
  6. Step 6: Final answer
    x = 17,472.30

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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.