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Finding the Fourth Proportional to 21,294.28, 31,919.94 and 8,821.12

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Solution

The fourth proportional to 21,294.28, 31,919.94 and 8,821.12 is: 13,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.28 : 31,919.94 = 8,821.12 : x
  2. Step 2: Convert to fraction form
    21,294.28/31,919.94 = 8,821.12/x
  3. Step 3: Cross multiply
    21,294.28x = 31,919.94 × 8,821.12
  4. Step 4: Simplify right side
    21,294.28x = 281,569,621.13
  5. Step 5: Solve for x
    x = 281,569,621.13/21,294.28
  6. Step 6: Final answer
    x = 13,222.78

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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.