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Finding the Fourth Proportional to 22,106.81, 33,161.13 and 6,524.44

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Solution

The fourth proportional to 22,106.81, 33,161.13 and 6,524.44 is: 9,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.81 : 33,161.13 = 6,524.44 : x
  2. Step 2: Convert to fraction form
    22,106.81/33,161.13 = 6,524.44/x
  3. Step 3: Cross multiply
    22,106.81x = 33,161.13 × 6,524.44
  4. Step 4: Simplify right side
    22,106.81x = 216,357,720.11
  5. Step 5: Solve for x
    x = 216,357,720.11/22,106.81
  6. Step 6: Final answer
    x = 9,786.93

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