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Finding the Fourth Proportional to 21,781.92, 32,674.32 and 9,294.96

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Solution

The fourth proportional to 21,781.92, 32,674.32 and 9,294.96 is: 13,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.92 : 32,674.32 = 9,294.96 : x
  2. Step 2: Convert to fraction form
    21,781.92/32,674.32 = 9,294.96/x
  3. Step 3: Cross multiply
    21,781.92x = 32,674.32 × 9,294.96
  4. Step 4: Simplify right side
    21,781.92x = 303,706,497.43
  5. Step 5: Solve for x
    x = 303,706,497.43/21,781.92
  6. Step 6: Final answer
    x = 13,943.05

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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.