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Finding the Fourth Proportional to 19,872.68, 29,815.26 and 8,191.40

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Solution

The fourth proportional to 19,872.68, 29,815.26 and 8,191.40 is: 12,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.68 : 29,815.26 = 8,191.40 : x
  2. Step 2: Convert to fraction form
    19,872.68/29,815.26 = 8,191.40/x
  3. Step 3: Cross multiply
    19,872.68x = 29,815.26 × 8,191.40
  4. Step 4: Simplify right side
    19,872.68x = 244,228,720.76
  5. Step 5: Solve for x
    x = 244,228,720.76/19,872.68
  6. Step 6: Final answer
    x = 12,289.67

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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.