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Finding the Fourth Proportional to 15,847.68, 23,778.19 and 6,958.44

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Solution

The fourth proportional to 15,847.68, 23,778.19 and 6,958.44 is: 10,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.68 : 23,778.19 = 6,958.44 : x
  2. Step 2: Convert to fraction form
    15,847.68/23,778.19 = 6,958.44/x
  3. Step 3: Cross multiply
    15,847.68x = 23,778.19 × 6,958.44
  4. Step 4: Simplify right side
    15,847.68x = 165,459,117.12
  5. Step 5: Solve for x
    x = 165,459,117.12/15,847.68
  6. Step 6: Final answer
    x = 10,440.59

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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.