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Finding the Fourth Proportional to 19,797.92, 29,694.09 and 5,005.93

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Solution

The fourth proportional to 19,797.92, 29,694.09 and 5,005.93 is: 7,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.92 : 29,694.09 = 5,005.93 : x
  2. Step 2: Convert to fraction form
    19,797.92/29,694.09 = 5,005.93/x
  3. Step 3: Cross multiply
    19,797.92x = 29,694.09 × 5,005.93
  4. Step 4: Simplify right side
    19,797.92x = 148,646,535.95
  5. Step 5: Solve for x
    x = 148,646,535.95/19,797.92
  6. Step 6: Final answer
    x = 7,508.19

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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.