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Finding the Fourth Proportional to 16,826.76, 23,218.83 and 9,752.22

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Solution

The fourth proportional to 16,826.76, 23,218.83 and 9,752.22 is: 13,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826.76 : 23,218.83 = 9,752.22 : x
  2. Step 2: Convert to fraction form
    16,826.76/23,218.83 = 9,752.22/x
  3. Step 3: Cross multiply
    16,826.76x = 23,218.83 × 9,752.22
  4. Step 4: Simplify right side
    16,826.76x = 226,435,138.30
  5. Step 5: Solve for x
    x = 226,435,138.30/16,826.76
  6. Step 6: Final answer
    x = 13,456.85

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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.