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Finding the Fourth Proportional to 12,884.15, 19,333.53 and 5,487.84

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Solution

The fourth proportional to 12,884.15, 19,333.53 and 5,487.84 is: 8,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.15 : 19,333.53 = 5,487.84 : x
  2. Step 2: Convert to fraction form
    12,884.15/19,333.53 = 5,487.84/x
  3. Step 3: Cross multiply
    12,884.15x = 19,333.53 × 5,487.84
  4. Step 4: Simplify right side
    12,884.15x = 106,099,319.28
  5. Step 5: Solve for x
    x = 106,099,319.28/12,884.15
  6. Step 6: Final answer
    x = 8,234.87

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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.