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Finding the Fourth Proportional to 15,861.44, 23,784 and 5,327.84

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Solution

The fourth proportional to 15,861.44, 23,784 and 5,327.84 is: 7,989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.44 : 23,784 = 5,327.84 : x
  2. Step 2: Convert to fraction form
    15,861.44/23,784 = 5,327.84/x
  3. Step 3: Cross multiply
    15,861.44x = 23,784 × 5,327.84
  4. Step 4: Simplify right side
    15,861.44x = 126,717,346.56
  5. Step 5: Solve for x
    x = 126,717,346.56/15,861.44
  6. Step 6: Final answer
    x = 7,989.02

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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.