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Finding the Fourth Proportional to 16,845, 23,244.80 and 9,291.61

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Solution

The fourth proportional to 16,845, 23,244.80 and 9,291.61 is: 12,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,845 : 23,244.80 = 9,291.61 : x
  2. Step 2: Convert to fraction form
    16,845/23,244.80 = 9,291.61/x
  3. Step 3: Cross multiply
    16,845x = 23,244.80 × 9,291.61
  4. Step 4: Simplify right side
    16,845x = 215,981,616.13
  5. Step 5: Solve for x
    x = 215,981,616.13/16,845
  6. Step 6: Final answer
    x = 12,821.70

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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.