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Finding the Fourth Proportional to 19,887.80, 29,833.04 and 6,735.68

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Solution

The fourth proportional to 19,887.80, 29,833.04 and 6,735.68 is: 10,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.80 : 29,833.04 = 6,735.68 : x
  2. Step 2: Convert to fraction form
    19,887.80/29,833.04 = 6,735.68/x
  3. Step 3: Cross multiply
    19,887.80x = 29,833.04 × 6,735.68
  4. Step 4: Simplify right side
    19,887.80x = 200,945,810.87
  5. Step 5: Solve for x
    x = 200,945,810.87/19,887.80
  6. Step 6: Final answer
    x = 10,103.97

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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.