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Finding the Fourth Proportional to 13,612.68, 20,391.68 and 6,206.95

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Solution

The fourth proportional to 13,612.68, 20,391.68 and 6,206.95 is: 9,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.68 : 20,391.68 = 6,206.95 : x
  2. Step 2: Convert to fraction form
    13,612.68/20,391.68 = 6,206.95/x
  3. Step 3: Cross multiply
    13,612.68x = 20,391.68 × 6,206.95
  4. Step 4: Simplify right side
    13,612.68x = 126,570,138.18
  5. Step 5: Solve for x
    x = 126,570,138.18/13,612.68
  6. Step 6: Final answer
    x = 9,297.96

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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.