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Finding the Fourth Proportional to 16,782.48, 23,160.08 and 9,229.14

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Solution

The fourth proportional to 16,782.48, 23,160.08 and 9,229.14 is: 12,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.48 : 23,160.08 = 9,229.14 : x
  2. Step 2: Convert to fraction form
    16,782.48/23,160.08 = 9,229.14/x
  3. Step 3: Cross multiply
    16,782.48x = 23,160.08 × 9,229.14
  4. Step 4: Simplify right side
    16,782.48x = 213,747,620.73
  5. Step 5: Solve for x
    x = 213,747,620.73/16,782.48
  6. Step 6: Final answer
    x = 12,736.35

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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.