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Finding the Fourth Proportional to 20,132.76, 30,204.48 and 6,985.10

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Solution

The fourth proportional to 20,132.76, 30,204.48 and 6,985.10 is: 10,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.76 : 30,204.48 = 6,985.10 : x
  2. Step 2: Convert to fraction form
    20,132.76/30,204.48 = 6,985.10/x
  3. Step 3: Cross multiply
    20,132.76x = 30,204.48 × 6,985.10
  4. Step 4: Simplify right side
    20,132.76x = 210,981,313.25
  5. Step 5: Solve for x
    x = 210,981,313.25/20,132.76
  6. Step 6: Final answer
    x = 10,479.50

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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.