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Finding the Fourth Proportional to 16,107.82, 22,228.77 and 9,034.18

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Solution

The fourth proportional to 16,107.82, 22,228.77 and 9,034.18 is: 12,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.82 : 22,228.77 = 9,034.18 : x
  2. Step 2: Convert to fraction form
    16,107.82/22,228.77 = 9,034.18/x
  3. Step 3: Cross multiply
    16,107.82x = 22,228.77 × 9,034.18
  4. Step 4: Simplify right side
    16,107.82x = 200,818,709.36
  5. Step 5: Solve for x
    x = 200,818,709.36/16,107.82
  6. Step 6: Final answer
    x = 12,467.16

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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.