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Finding the Fourth Proportional to 16,542.80, 24,814 and 4,855.60

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Solution

The fourth proportional to 16,542.80, 24,814 and 4,855.60 is: 7,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.80 : 24,814 = 4,855.60 : x
  2. Step 2: Convert to fraction form
    16,542.80/24,814 = 4,855.60/x
  3. Step 3: Cross multiply
    16,542.80x = 24,814 × 4,855.60
  4. Step 4: Simplify right side
    16,542.80x = 120,486,858.40
  5. Step 5: Solve for x
    x = 120,486,858.40/16,542.80
  6. Step 6: Final answer
    x = 7,283.34

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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.