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Finding the Fourth Proportional to 22,106.26, 33,159.39 and 7,311.21

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Solution

The fourth proportional to 22,106.26, 33,159.39 and 7,311.21 is: 10,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.26 : 33,159.39 = 7,311.21 : x
  2. Step 2: Convert to fraction form
    22,106.26/33,159.39 = 7,311.21/x
  3. Step 3: Cross multiply
    22,106.26x = 33,159.39 × 7,311.21
  4. Step 4: Simplify right side
    22,106.26x = 242,435,263.76
  5. Step 5: Solve for x
    x = 242,435,263.76/22,106.26
  6. Step 6: Final answer
    x = 10,966.82

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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.