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Finding the Fourth Proportional to 13,700.38, 18,910.12 and 8,035.96

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Solution

The fourth proportional to 13,700.38, 18,910.12 and 8,035.96 is: 11,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.38 : 18,910.12 = 8,035.96 : x
  2. Step 2: Convert to fraction form
    13,700.38/18,910.12 = 8,035.96/x
  3. Step 3: Cross multiply
    13,700.38x = 18,910.12 × 8,035.96
  4. Step 4: Simplify right side
    13,700.38x = 151,960,967.92
  5. Step 5: Solve for x
    x = 151,960,967.92/13,700.38
  6. Step 6: Final answer
    x = 11,091.73

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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.