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Finding the Fourth Proportional to 19,638.92, 29,458.20 and 4,847.96

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Solution

The fourth proportional to 19,638.92, 29,458.20 and 4,847.96 is: 7,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.92 : 29,458.20 = 4,847.96 : x
  2. Step 2: Convert to fraction form
    19,638.92/29,458.20 = 4,847.96/x
  3. Step 3: Cross multiply
    19,638.92x = 29,458.20 × 4,847.96
  4. Step 4: Simplify right side
    19,638.92x = 142,812,175.27
  5. Step 5: Solve for x
    x = 142,812,175.27/19,638.92
  6. Step 6: Final answer
    x = 7,271.90

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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.