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Finding the Fourth Proportional to 22,651.89, 33,982.54 and 6,857.80

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Solution

The fourth proportional to 22,651.89, 33,982.54 and 6,857.80 is: 10,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.89 : 33,982.54 = 6,857.80 : x
  2. Step 2: Convert to fraction form
    22,651.89/33,982.54 = 6,857.80/x
  3. Step 3: Cross multiply
    22,651.89x = 33,982.54 × 6,857.80
  4. Step 4: Simplify right side
    22,651.89x = 233,045,360.71
  5. Step 5: Solve for x
    x = 233,045,360.71/22,651.89
  6. Step 6: Final answer
    x = 10,288.12

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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.