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Finding the Fourth Proportional to 16,108.63, 22,229.85 and 9,035.08

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Solution

The fourth proportional to 16,108.63, 22,229.85 and 9,035.08 is: 12,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108.63 : 22,229.85 = 9,035.08 : x
  2. Step 2: Convert to fraction form
    16,108.63/22,229.85 = 9,035.08/x
  3. Step 3: Cross multiply
    16,108.63x = 22,229.85 × 9,035.08
  4. Step 4: Simplify right side
    16,108.63x = 200,848,473.14
  5. Step 5: Solve for x
    x = 200,848,473.14/16,108.63
  6. Step 6: Final answer
    x = 12,468.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.