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Finding the Fourth Proportional to 22,006.84, 33,031.22 and 13,661.60

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Solution

The fourth proportional to 22,006.84, 33,031.22 and 13,661.60 is: 20,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.84 : 33,031.22 = 13,661.60 : x
  2. Step 2: Convert to fraction form
    22,006.84/33,031.22 = 13,661.60/x
  3. Step 3: Cross multiply
    22,006.84x = 33,031.22 × 13,661.60
  4. Step 4: Simplify right side
    22,006.84x = 451,259,315.15
  5. Step 5: Solve for x
    x = 451,259,315.15/22,006.84
  6. Step 6: Final answer
    x = 20,505.41

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1.5x scale

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.