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Finding the Fourth Proportional to 20,578.58, 28,398.39 and 11,147.30

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Solution

The fourth proportional to 20,578.58, 28,398.39 and 11,147.30 is: 15,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.58 : 28,398.39 = 11,147.30 : x
  2. Step 2: Convert to fraction form
    20,578.58/28,398.39 = 11,147.30/x
  3. Step 3: Cross multiply
    20,578.58x = 28,398.39 × 11,147.30
  4. Step 4: Simplify right side
    20,578.58x = 316,565,372.85
  5. Step 5: Solve for x
    x = 316,565,372.85/20,578.58
  6. Step 6: Final answer
    x = 15,383.25

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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.