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Finding the Fourth Proportional to 20,206.75, 30,313.52 and 9,113.20

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Solution

The fourth proportional to 20,206.75, 30,313.52 and 9,113.20 is: 13,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.75 : 30,313.52 = 9,113.20 : x
  2. Step 2: Convert to fraction form
    20,206.75/30,313.52 = 9,113.20/x
  3. Step 3: Cross multiply
    20,206.75x = 30,313.52 × 9,113.20
  4. Step 4: Simplify right side
    20,206.75x = 276,253,170.46
  5. Step 5: Solve for x
    x = 276,253,170.46/20,206.75
  6. Step 6: Final answer
    x = 13,671.33

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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.