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Finding the Fourth Proportional to 22,978.83, 34,468.26 and 6,338.34

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Solution

The fourth proportional to 22,978.83, 34,468.26 and 6,338.34 is: 9,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.83 : 34,468.26 = 6,338.34 : x
  2. Step 2: Convert to fraction form
    22,978.83/34,468.26 = 6,338.34/x
  3. Step 3: Cross multiply
    22,978.83x = 34,468.26 × 6,338.34
  4. Step 4: Simplify right side
    22,978.83x = 218,471,551.09
  5. Step 5: Solve for x
    x = 218,471,551.09/22,978.83
  6. Step 6: Final answer
    x = 9,507.51

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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.