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Finding the Fourth Proportional to 20,578.54, 28,398.53 and 11,147.11

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Solution

The fourth proportional to 20,578.54, 28,398.53 and 11,147.11 is: 15,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.54 : 28,398.53 = 11,147.11 : x
  2. Step 2: Convert to fraction form
    20,578.54/28,398.53 = 11,147.11/x
  3. Step 3: Cross multiply
    20,578.54x = 28,398.53 × 11,147.11
  4. Step 4: Simplify right side
    20,578.54x = 316,561,537.75
  5. Step 5: Solve for x
    x = 316,561,537.75/20,578.54
  6. Step 6: Final answer
    x = 15,383.09

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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.