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Finding the Fourth Proportional to 22,338.82, 30,828.29 and 12,907.38

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Solution

The fourth proportional to 22,338.82, 30,828.29 and 12,907.38 is: 17,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.82 : 30,828.29 = 12,907.38 : x
  2. Step 2: Convert to fraction form
    22,338.82/30,828.29 = 12,907.38/x
  3. Step 3: Cross multiply
    22,338.82x = 30,828.29 × 12,907.38
  4. Step 4: Simplify right side
    22,338.82x = 397,912,453.78
  5. Step 5: Solve for x
    x = 397,912,453.78/22,338.82
  6. Step 6: Final answer
    x = 17,812.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.