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Finding the Fourth Proportional to 19,764.66, 29,638.34 and 5,910.42

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Solution

The fourth proportional to 19,764.66, 29,638.34 and 5,910.42 is: 8,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764.66 : 29,638.34 = 5,910.42 : x
  2. Step 2: Convert to fraction form
    19,764.66/29,638.34 = 5,910.42/x
  3. Step 3: Cross multiply
    19,764.66x = 29,638.34 × 5,910.42
  4. Step 4: Simplify right side
    19,764.66x = 175,175,037.50
  5. Step 5: Solve for x
    x = 175,175,037.50/19,764.66
  6. Step 6: Final answer
    x = 8,863.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.