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Finding the Fourth Proportional to 20,578.92, 28,398.90 and 11,147.40

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Solution

The fourth proportional to 20,578.92, 28,398.90 and 11,147.40 is: 15,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.92 : 28,398.90 = 11,147.40 : x
  2. Step 2: Convert to fraction form
    20,578.92/28,398.90 = 11,147.40/x
  3. Step 3: Cross multiply
    20,578.92x = 28,398.90 × 11,147.40
  4. Step 4: Simplify right side
    20,578.92x = 316,573,897.86
  5. Step 5: Solve for x
    x = 316,573,897.86/20,578.92
  6. Step 6: Final answer
    x = 15,383.41

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