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Finding the Fourth Proportional to 20,567.36, 28,383 and 11,135.90

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Solution

The fourth proportional to 20,567.36, 28,383 and 11,135.90 is: 15,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.36 : 28,383 = 11,135.90 : x
  2. Step 2: Convert to fraction form
    20,567.36/28,383 = 11,135.90/x
  3. Step 3: Cross multiply
    20,567.36x = 28,383 × 11,135.90
  4. Step 4: Simplify right side
    20,567.36x = 316,070,249.70
  5. Step 5: Solve for x
    x = 316,070,249.70/20,567.36
  6. Step 6: Final answer
    x = 15,367.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.