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Finding the Fourth Proportional to 21,294.65, 31,961.69 and 10,772.12

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Solution

The fourth proportional to 21,294.65, 31,961.69 and 10,772.12 is: 16,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.65 : 31,961.69 = 10,772.12 : x
  2. Step 2: Convert to fraction form
    21,294.65/31,961.69 = 10,772.12/x
  3. Step 3: Cross multiply
    21,294.65x = 31,961.69 × 10,772.12
  4. Step 4: Simplify right side
    21,294.65x = 344,295,160.08
  5. Step 5: Solve for x
    x = 344,295,160.08/21,294.65
  6. Step 6: Final answer
    x = 16,168.15

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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.