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Finding the Fourth Proportional to 20,234.71, 30,351.30 and 6,194.17

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Solution

The fourth proportional to 20,234.71, 30,351.30 and 6,194.17 is: 9,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.71 : 30,351.30 = 6,194.17 : x
  2. Step 2: Convert to fraction form
    20,234.71/30,351.30 = 6,194.17/x
  3. Step 3: Cross multiply
    20,234.71x = 30,351.30 × 6,194.17
  4. Step 4: Simplify right side
    20,234.71x = 188,001,111.92
  5. Step 5: Solve for x
    x = 188,001,111.92/20,234.71
  6. Step 6: Final answer
    x = 9,291.02

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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.