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Finding the Fourth Proportional to 19,758.85, 29,638.11 and 8,063.87

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Solution

The fourth proportional to 19,758.85, 29,638.11 and 8,063.87 is: 12,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.85 : 29,638.11 = 8,063.87 : x
  2. Step 2: Convert to fraction form
    19,758.85/29,638.11 = 8,063.87/x
  3. Step 3: Cross multiply
    19,758.85x = 29,638.11 × 8,063.87
  4. Step 4: Simplify right side
    19,758.85x = 238,997,748.13
  5. Step 5: Solve for x
    x = 238,997,748.13/19,758.85
  6. Step 6: Final answer
    x = 12,095.73

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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.