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Finding the Fourth Proportional to 20,216.84, 30,314.70 and 6,362.12

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Solution

The fourth proportional to 20,216.84, 30,314.70 and 6,362.12 is: 9,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.84 : 30,314.70 = 6,362.12 : x
  2. Step 2: Convert to fraction form
    20,216.84/30,314.70 = 6,362.12/x
  3. Step 3: Cross multiply
    20,216.84x = 30,314.70 × 6,362.12
  4. Step 4: Simplify right side
    20,216.84x = 192,865,759.16
  5. Step 5: Solve for x
    x = 192,865,759.16/20,216.84
  6. Step 6: Final answer
    x = 9,539.86

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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.