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Finding the Fourth Proportional to 16,843.67, 23,244.42 and 9,290.30

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Solution

The fourth proportional to 16,843.67, 23,244.42 and 9,290.30 is: 12,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.67 : 23,244.42 = 9,290.30 : x
  2. Step 2: Convert to fraction form
    16,843.67/23,244.42 = 9,290.30/x
  3. Step 3: Cross multiply
    16,843.67x = 23,244.42 × 9,290.30
  4. Step 4: Simplify right side
    16,843.67x = 215,947,635.13
  5. Step 5: Solve for x
    x = 215,947,635.13/16,843.67
  6. Step 6: Final answer
    x = 12,820.70

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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.