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Finding the Fourth Proportional to 22,338.20, 33,510.94 and 7,548

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Solution

The fourth proportional to 22,338.20, 33,510.94 and 7,548 is: 11,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.20 : 33,510.94 = 7,548 : x
  2. Step 2: Convert to fraction form
    22,338.20/33,510.94 = 7,548/x
  3. Step 3: Cross multiply
    22,338.20x = 33,510.94 × 7,548
  4. Step 4: Simplify right side
    22,338.20x = 252,940,575.12
  5. Step 5: Solve for x
    x = 252,940,575.12/22,338.20
  6. Step 6: Final answer
    x = 11,323.23

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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.