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Finding the Fourth Proportional to 13,906.68, 19,188.20 and 8,243.20

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Solution

The fourth proportional to 13,906.68, 19,188.20 and 8,243.20 is: 11,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.68 : 19,188.20 = 8,243.20 : x
  2. Step 2: Convert to fraction form
    13,906.68/19,188.20 = 8,243.20/x
  3. Step 3: Cross multiply
    13,906.68x = 19,188.20 × 8,243.20
  4. Step 4: Simplify right side
    13,906.68x = 158,172,170.24
  5. Step 5: Solve for x
    x = 158,172,170.24/13,906.68
  6. Step 6: Final answer
    x = 11,373.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.