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Finding the Fourth Proportional to 20,011, 30,016.92 and 6,160

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Solution

The fourth proportional to 20,011, 30,016.92 and 6,160 is: 9,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011 : 30,016.92 = 6,160 : x
  2. Step 2: Convert to fraction form
    20,011/30,016.92 = 6,160/x
  3. Step 3: Cross multiply
    20,011x = 30,016.92 × 6,160
  4. Step 4: Simplify right side
    20,011x = 184,904,227.20
  5. Step 5: Solve for x
    x = 184,904,227.20/20,011
  6. Step 6: Final answer
    x = 9,240.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.