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Finding the Fourth Proportional to 16,884, 25,327.80 and 5,787.60

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Solution

The fourth proportional to 16,884, 25,327.80 and 5,787.60 is: 8,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884 : 25,327.80 = 5,787.60 : x
  2. Step 2: Convert to fraction form
    16,884/25,327.80 = 5,787.60/x
  3. Step 3: Cross multiply
    16,884x = 25,327.80 × 5,787.60
  4. Step 4: Simplify right side
    16,884x = 146,587,175.28
  5. Step 5: Solve for x
    x = 146,587,175.28/16,884
  6. Step 6: Final answer
    x = 8,682.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.