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Finding the Fourth Proportional to 11,229.30, 16,843.95 and 9,042.30

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Solution

The fourth proportional to 11,229.30, 16,843.95 and 9,042.30 is: 13,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.30 : 16,843.95 = 9,042.30 : x
  2. Step 2: Convert to fraction form
    11,229.30/16,843.95 = 9,042.30/x
  3. Step 3: Cross multiply
    11,229.30x = 16,843.95 × 9,042.30
  4. Step 4: Simplify right side
    11,229.30x = 152,308,049.09
  5. Step 5: Solve for x
    x = 152,308,049.09/11,229.30
  6. Step 6: Final answer
    x = 13,563.45

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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.