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Finding the Fourth Proportional to 20,193.25, 30,294.78 and 6,342.25

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Solution

The fourth proportional to 20,193.25, 30,294.78 and 6,342.25 is: 9,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.25 : 30,294.78 = 6,342.25 : x
  2. Step 2: Convert to fraction form
    20,193.25/30,294.78 = 6,342.25/x
  3. Step 3: Cross multiply
    20,193.25x = 30,294.78 × 6,342.25
  4. Step 4: Simplify right side
    20,193.25x = 192,137,068.46
  5. Step 5: Solve for x
    x = 192,137,068.46/20,193.25
  6. Step 6: Final answer
    x = 9,514.92

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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.