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Finding the Fourth Proportional to 19,874.19, 29,817.24 and 8,021.86

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Solution

The fourth proportional to 19,874.19, 29,817.24 and 8,021.86 is: 12,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.19 : 29,817.24 = 8,021.86 : x
  2. Step 2: Convert to fraction form
    19,874.19/29,817.24 = 8,021.86/x
  3. Step 3: Cross multiply
    19,874.19x = 29,817.24 × 8,021.86
  4. Step 4: Simplify right side
    19,874.19x = 239,189,724.87
  5. Step 5: Solve for x
    x = 239,189,724.87/19,874.19
  6. Step 6: Final answer
    x = 12,035.19

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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.