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Finding the Fourth Proportional to 20,206.40, 30,314.44 and 6,355.40

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Solution

The fourth proportional to 20,206.40, 30,314.44 and 6,355.40 is: 9,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.40 : 30,314.44 = 6,355.40 : x
  2. Step 2: Convert to fraction form
    20,206.40/30,314.44 = 6,355.40/x
  3. Step 3: Cross multiply
    20,206.40x = 30,314.44 × 6,355.40
  4. Step 4: Simplify right side
    20,206.40x = 192,660,391.98
  5. Step 5: Solve for x
    x = 192,660,391.98/20,206.40
  6. Step 6: Final answer
    x = 9,534.62

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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.