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Finding the Fourth Proportional to 22,507.46, 33,768.47 and 10,819.16

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Solution

The fourth proportional to 22,507.46, 33,768.47 and 10,819.16 is: 16,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.46 : 33,768.47 = 10,819.16 : x
  2. Step 2: Convert to fraction form
    22,507.46/33,768.47 = 10,819.16/x
  3. Step 3: Cross multiply
    22,507.46x = 33,768.47 × 10,819.16
  4. Step 4: Simplify right side
    22,507.46x = 365,346,338.09
  5. Step 5: Solve for x
    x = 365,346,338.09/22,507.46
  6. Step 6: Final answer
    x = 16,232.24

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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.