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Finding the Fourth Proportional to 22,406.62, 33,594.35 and 9,919.83

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Solution

The fourth proportional to 22,406.62, 33,594.35 and 9,919.83 is: 14,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.62 : 33,594.35 = 9,919.83 : x
  2. Step 2: Convert to fraction form
    22,406.62/33,594.35 = 9,919.83/x
  3. Step 3: Cross multiply
    22,406.62x = 33,594.35 × 9,919.83
  4. Step 4: Simplify right side
    22,406.62x = 333,250,072.99
  5. Step 5: Solve for x
    x = 333,250,072.99/22,406.62
  6. Step 6: Final answer
    x = 14,872.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.