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Finding the Fourth Proportional to 19,930.24, 29,894.96 and 6,791.76

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Solution

The fourth proportional to 19,930.24, 29,894.96 and 6,791.76 is: 10,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930.24 : 29,894.96 = 6,791.76 : x
  2. Step 2: Convert to fraction form
    19,930.24/29,894.96 = 6,791.76/x
  3. Step 3: Cross multiply
    19,930.24x = 29,894.96 × 6,791.76
  4. Step 4: Simplify right side
    19,930.24x = 203,039,393.53
  5. Step 5: Solve for x
    x = 203,039,393.53/19,930.24
  6. Step 6: Final answer
    x = 10,187.50

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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.