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Finding the Fourth Proportional to 22,065.24, 33,098.34 and 8,211.48

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Solution

The fourth proportional to 22,065.24, 33,098.34 and 8,211.48 is: 12,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,065.24 : 33,098.34 = 8,211.48 : x
  2. Step 2: Convert to fraction form
    22,065.24/33,098.34 = 8,211.48/x
  3. Step 3: Cross multiply
    22,065.24x = 33,098.34 × 8,211.48
  4. Step 4: Simplify right side
    22,065.24x = 271,786,356.94
  5. Step 5: Solve for x
    x = 271,786,356.94/22,065.24
  6. Step 6: Final answer
    x = 12,317.40

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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.