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Finding the Fourth Proportional to 20,193.15, 30,294.60 and 6,342.15

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Solution

The fourth proportional to 20,193.15, 30,294.60 and 6,342.15 is: 9,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.15 : 30,294.60 = 6,342.15 : x
  2. Step 2: Convert to fraction form
    20,193.15/30,294.60 = 6,342.15/x
  3. Step 3: Cross multiply
    20,193.15x = 30,294.60 × 6,342.15
  4. Step 4: Simplify right side
    20,193.15x = 192,132,897.39
  5. Step 5: Solve for x
    x = 192,132,897.39/20,193.15
  6. Step 6: Final answer
    x = 9,514.76

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