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Finding the Fourth Proportional to 16,241.15, 22,410.38 and 9,864.42

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Solution

The fourth proportional to 16,241.15, 22,410.38 and 9,864.42 is: 13,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.15 : 22,410.38 = 9,864.42 : x
  2. Step 2: Convert to fraction form
    16,241.15/22,410.38 = 9,864.42/x
  3. Step 3: Cross multiply
    16,241.15x = 22,410.38 × 9,864.42
  4. Step 4: Simplify right side
    16,241.15x = 221,065,351.36
  5. Step 5: Solve for x
    x = 221,065,351.36/16,241.15
  6. Step 6: Final answer
    x = 13,611.44

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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.