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Finding the Fourth Proportional to 19,406.10, 29,099.94 and 8,873

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Solution

The fourth proportional to 19,406.10, 29,099.94 and 8,873 is: 13,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.10 : 29,099.94 = 8,873 : x
  2. Step 2: Convert to fraction form
    19,406.10/29,099.94 = 8,873/x
  3. Step 3: Cross multiply
    19,406.10x = 29,099.94 × 8,873
  4. Step 4: Simplify right side
    19,406.10x = 258,203,767.62
  5. Step 5: Solve for x
    x = 258,203,767.62/19,406.10
  6. Step 6: Final answer
    x = 13,305.29

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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.