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Finding the Fourth Proportional to 22,424.46, 33,641.10 and 7,629.36

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Solution

The fourth proportional to 22,424.46, 33,641.10 and 7,629.36 is: 11,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.46 : 33,641.10 = 7,629.36 : x
  2. Step 2: Convert to fraction form
    22,424.46/33,641.10 = 7,629.36/x
  3. Step 3: Cross multiply
    22,424.46x = 33,641.10 × 7,629.36
  4. Step 4: Simplify right side
    22,424.46x = 256,660,062.70
  5. Step 5: Solve for x
    x = 256,660,062.70/22,424.46
  6. Step 6: Final answer
    x = 11,445.54

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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.