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Finding the Fourth Proportional to 22,100.85, 33,153.84 and 7,309.88

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Solution

The fourth proportional to 22,100.85, 33,153.84 and 7,309.88 is: 10,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100.85 : 33,153.84 = 7,309.88 : x
  2. Step 2: Convert to fraction form
    22,100.85/33,153.84 = 7,309.88/x
  3. Step 3: Cross multiply
    22,100.85x = 33,153.84 × 7,309.88
  4. Step 4: Simplify right side
    22,100.85x = 242,350,550.50
  5. Step 5: Solve for x
    x = 242,350,550.50/22,100.85
  6. Step 6: Final answer
    x = 10,965.67

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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.