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Finding the Fourth Proportional to 20,234.17, 30,351.53 and 7,754.83

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Solution

The fourth proportional to 20,234.17, 30,351.53 and 7,754.83 is: 11,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.17 : 30,351.53 = 7,754.83 : x
  2. Step 2: Convert to fraction form
    20,234.17/30,351.53 = 7,754.83/x
  3. Step 3: Cross multiply
    20,234.17x = 30,351.53 × 7,754.83
  4. Step 4: Simplify right side
    20,234.17x = 235,370,955.39
  5. Step 5: Solve for x
    x = 235,370,955.39/20,234.17
  6. Step 6: Final answer
    x = 11,632.35

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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.