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Finding the Fourth Proportional to 16,105.85, 22,226.03 and 9,032.42

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Solution

The fourth proportional to 16,105.85, 22,226.03 and 9,032.42 is: 12,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.85 : 22,226.03 = 9,032.42 : x
  2. Step 2: Convert to fraction form
    16,105.85/22,226.03 = 9,032.42/x
  3. Step 3: Cross multiply
    16,105.85x = 22,226.03 × 9,032.42
  4. Step 4: Simplify right side
    16,105.85x = 200,754,882.17
  5. Step 5: Solve for x
    x = 200,754,882.17/16,105.85
  6. Step 6: Final answer
    x = 12,464.72

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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.