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Finding the Fourth Proportional to 16,499.64, 22,766.33 and 9,791.22

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Solution

The fourth proportional to 16,499.64, 22,766.33 and 9,791.22 is: 13,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.64 : 22,766.33 = 9,791.22 : x
  2. Step 2: Convert to fraction form
    16,499.64/22,766.33 = 9,791.22/x
  3. Step 3: Cross multiply
    16,499.64x = 22,766.33 × 9,791.22
  4. Step 4: Simplify right side
    16,499.64x = 222,910,255.47
  5. Step 5: Solve for x
    x = 222,910,255.47/16,499.64
  6. Step 6: Final answer
    x = 13,510.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.