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Finding the Fourth Proportional to 21,872.42, 32,813.82 and 7,081.33

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Solution

The fourth proportional to 21,872.42, 32,813.82 and 7,081.33 is: 10,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.42 : 32,813.82 = 7,081.33 : x
  2. Step 2: Convert to fraction form
    21,872.42/32,813.82 = 7,081.33/x
  3. Step 3: Cross multiply
    21,872.42x = 32,813.82 × 7,081.33
  4. Step 4: Simplify right side
    21,872.42x = 232,365,487.98
  5. Step 5: Solve for x
    x = 232,365,487.98/21,872.42
  6. Step 6: Final answer
    x = 10,623.68

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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.