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Finding the Fourth Proportional to 16,781.99, 23,159.39 and 9,229.10

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Solution

The fourth proportional to 16,781.99, 23,159.39 and 9,229.10 is: 12,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.99 : 23,159.39 = 9,229.10 : x
  2. Step 2: Convert to fraction form
    16,781.99/23,159.39 = 9,229.10/x
  3. Step 3: Cross multiply
    16,781.99x = 23,159.39 × 9,229.10
  4. Step 4: Simplify right side
    16,781.99x = 213,740,164.31
  5. Step 5: Solve for x
    x = 213,740,164.31/16,781.99
  6. Step 6: Final answer
    x = 12,736.29

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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.