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Finding the Fourth Proportional to 22,107, 33,153.50 and 7,313.16

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Solution

The fourth proportional to 22,107, 33,153.50 and 7,313.16 is: 10,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107 : 33,153.50 = 7,313.16 : x
  2. Step 2: Convert to fraction form
    22,107/33,153.50 = 7,313.16/x
  3. Step 3: Cross multiply
    22,107x = 33,153.50 × 7,313.16
  4. Step 4: Simplify right side
    22,107x = 242,456,850.06
  5. Step 5: Solve for x
    x = 242,456,850.06/22,107
  6. Step 6: Final answer
    x = 10,967.42

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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.