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Finding the Fourth Proportional to 14,149.92, 19,525.20 and 7,861.44

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Solution

The fourth proportional to 14,149.92, 19,525.20 and 7,861.44 is: 10,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.92 : 19,525.20 = 7,861.44 : x
  2. Step 2: Convert to fraction form
    14,149.92/19,525.20 = 7,861.44/x
  3. Step 3: Cross multiply
    14,149.92x = 19,525.20 × 7,861.44
  4. Step 4: Simplify right side
    14,149.92x = 153,496,188.29
  5. Step 5: Solve for x
    x = 153,496,188.29/14,149.92
  6. Step 6: Final answer
    x = 10,847.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.