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Finding the Fourth Proportional to 22,164.99, 33,209.90 and 13,381.45

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Solution

The fourth proportional to 22,164.99, 33,209.90 and 13,381.45 is: 20,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.99 : 33,209.90 = 13,381.45 : x
  2. Step 2: Convert to fraction form
    22,164.99/33,209.90 = 13,381.45/x
  3. Step 3: Cross multiply
    22,164.99x = 33,209.90 × 13,381.45
  4. Step 4: Simplify right side
    22,164.99x = 444,396,703.41
  5. Step 5: Solve for x
    x = 444,396,703.41/22,164.99
  6. Step 6: Final answer
    x = 20,049.49

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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.