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Finding the Fourth Proportional to 20,393.89, 30,578.68 and 7,062.50

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Solution

The fourth proportional to 20,393.89, 30,578.68 and 7,062.50 is: 10,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.89 : 30,578.68 = 7,062.50 : x
  2. Step 2: Convert to fraction form
    20,393.89/30,578.68 = 7,062.50/x
  3. Step 3: Cross multiply
    20,393.89x = 30,578.68 × 7,062.50
  4. Step 4: Simplify right side
    20,393.89x = 215,961,892.19
  5. Step 5: Solve for x
    x = 215,961,892.19/20,393.89
  6. Step 6: Final answer
    x = 10,589.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.