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Finding the Fourth Proportional to 22,074.48, 33,101.31 and 8,024.64

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Solution

The fourth proportional to 22,074.48, 33,101.31 and 8,024.64 is: 12,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.48 : 33,101.31 = 8,024.64 : x
  2. Step 2: Convert to fraction form
    22,074.48/33,101.31 = 8,024.64/x
  3. Step 3: Cross multiply
    22,074.48x = 33,101.31 × 8,024.64
  4. Step 4: Simplify right side
    22,074.48x = 265,626,096.28
  5. Step 5: Solve for x
    x = 265,626,096.28/22,074.48
  6. Step 6: Final answer
    x = 12,033.18

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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.