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Finding the Fourth Proportional to 20,141.20, 30,204.62 and 7,657.90

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Solution

The fourth proportional to 20,141.20, 30,204.62 and 7,657.90 is: 11,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.20 : 30,204.62 = 7,657.90 : x
  2. Step 2: Convert to fraction form
    20,141.20/30,204.62 = 7,657.90/x
  3. Step 3: Cross multiply
    20,141.20x = 30,204.62 × 7,657.90
  4. Step 4: Simplify right side
    20,141.20x = 231,303,959.50
  5. Step 5: Solve for x
    x = 231,303,959.50/20,141.20
  6. Step 6: Final answer
    x = 11,484.12

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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.