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Finding the Fourth Proportional to 15,884.68, 23,827.20 and 5,494

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Solution

The fourth proportional to 15,884.68, 23,827.20 and 5,494 is: 8,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.68 : 23,827.20 = 5,494 : x
  2. Step 2: Convert to fraction form
    15,884.68/23,827.20 = 5,494/x
  3. Step 3: Cross multiply
    15,884.68x = 23,827.20 × 5,494
  4. Step 4: Simplify right side
    15,884.68x = 130,906,636.80
  5. Step 5: Solve for x
    x = 130,906,636.80/15,884.68
  6. Step 6: Final answer
    x = 8,241.06

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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.