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Finding the Fourth Proportional to 16,843.24, 23,243.85 and 9,289.90

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Solution

The fourth proportional to 16,843.24, 23,243.85 and 9,289.90 is: 12,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.24 : 23,243.85 = 9,289.90 : x
  2. Step 2: Convert to fraction form
    16,843.24/23,243.85 = 9,289.90/x
  3. Step 3: Cross multiply
    16,843.24x = 23,243.85 × 9,289.90
  4. Step 4: Simplify right side
    16,843.24x = 215,933,042.12
  5. Step 5: Solve for x
    x = 215,933,042.12/16,843.24
  6. Step 6: Final answer
    x = 12,820.16

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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.