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Finding the Fourth Proportional to 16,560.64, 24,843.42 and 5,468.50

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Solution

The fourth proportional to 16,560.64, 24,843.42 and 5,468.50 is: 8,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560.64 : 24,843.42 = 5,468.50 : x
  2. Step 2: Convert to fraction form
    16,560.64/24,843.42 = 5,468.50/x
  3. Step 3: Cross multiply
    16,560.64x = 24,843.42 × 5,468.50
  4. Step 4: Simplify right side
    16,560.64x = 135,856,242.27
  5. Step 5: Solve for x
    x = 135,856,242.27/16,560.64
  6. Step 6: Final answer
    x = 8,203.56

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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.