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Finding the Fourth Proportional to 16,107.60, 22,227.84 and 9,034.14

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Solution

The fourth proportional to 16,107.60, 22,227.84 and 9,034.14 is: 12,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.60 : 22,227.84 = 9,034.14 : x
  2. Step 2: Convert to fraction form
    16,107.60/22,227.84 = 9,034.14/x
  3. Step 3: Cross multiply
    16,107.60x = 22,227.84 × 9,034.14
  4. Step 4: Simplify right side
    16,107.60x = 200,809,418.46
  5. Step 5: Solve for x
    x = 200,809,418.46/16,107.60
  6. Step 6: Final answer
    x = 12,466.75

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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.