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Finding the Fourth Proportional to 20,578.23, 28,398.15 and 11,146.82

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Solution

The fourth proportional to 20,578.23, 28,398.15 and 11,146.82 is: 15,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.23 : 28,398.15 = 11,146.82 : x
  2. Step 2: Convert to fraction form
    20,578.23/28,398.15 = 11,146.82/x
  3. Step 3: Cross multiply
    20,578.23x = 28,398.15 × 11,146.82
  4. Step 4: Simplify right side
    20,578.23x = 316,548,924.39
  5. Step 5: Solve for x
    x = 316,548,924.39/20,578.23
  6. Step 6: Final answer
    x = 15,382.71

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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.