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Finding the Fourth Proportional to 19,992.74, 29,983.88 and 5,949

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Solution

The fourth proportional to 19,992.74, 29,983.88 and 5,949 is: 8,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992.74 : 29,983.88 = 5,949 : x
  2. Step 2: Convert to fraction form
    19,992.74/29,983.88 = 5,949/x
  3. Step 3: Cross multiply
    19,992.74x = 29,983.88 × 5,949
  4. Step 4: Simplify right side
    19,992.74x = 178,374,102.12
  5. Step 5: Solve for x
    x = 178,374,102.12/19,992.74
  6. Step 6: Final answer
    x = 8,921.94

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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.