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Finding the Fourth Proportional to 18,567.60, 27,876.12 and 10,782

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Solution

The fourth proportional to 18,567.60, 27,876.12 and 10,782 is: 16,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.60 : 27,876.12 = 10,782 : x
  2. Step 2: Convert to fraction form
    18,567.60/27,876.12 = 10,782/x
  3. Step 3: Cross multiply
    18,567.60x = 27,876.12 × 10,782
  4. Step 4: Simplify right side
    18,567.60x = 300,560,325.84
  5. Step 5: Solve for x
    x = 300,560,325.84/18,567.60
  6. Step 6: Final answer
    x = 16,187.35

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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.