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Finding the Fourth Proportional to 19,978.74, 29,973.42 and 6,832.44

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Solution

The fourth proportional to 19,978.74, 29,973.42 and 6,832.44 is: 10,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.74 : 29,973.42 = 6,832.44 : x
  2. Step 2: Convert to fraction form
    19,978.74/29,973.42 = 6,832.44/x
  3. Step 3: Cross multiply
    19,978.74x = 29,973.42 × 6,832.44
  4. Step 4: Simplify right side
    19,978.74x = 204,791,593.74
  5. Step 5: Solve for x
    x = 204,791,593.74/19,978.74
  6. Step 6: Final answer
    x = 10,250.48

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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.