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Finding the Fourth Proportional to 16,582.80, 22,883.83 and 9,028.97

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Solution

The fourth proportional to 16,582.80, 22,883.83 and 9,028.97 is: 12,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.80 : 22,883.83 = 9,028.97 : x
  2. Step 2: Convert to fraction form
    16,582.80/22,883.83 = 9,028.97/x
  3. Step 3: Cross multiply
    16,582.80x = 22,883.83 × 9,028.97
  4. Step 4: Simplify right side
    16,582.80x = 206,617,414.56
  5. Step 5: Solve for x
    x = 206,617,414.56/16,582.80
  6. Step 6: Final answer
    x = 12,459.74

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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.