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Finding the Fourth Proportional to 20,318.85, 30,487.86 and 7,177.41

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Solution

The fourth proportional to 20,318.85, 30,487.86 and 7,177.41 is: 10,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,318.85 : 30,487.86 = 7,177.41 : x
  2. Step 2: Convert to fraction form
    20,318.85/30,487.86 = 7,177.41/x
  3. Step 3: Cross multiply
    20,318.85x = 30,487.86 × 7,177.41
  4. Step 4: Simplify right side
    20,318.85x = 218,823,871.24
  5. Step 5: Solve for x
    x = 218,823,871.24/20,318.85
  6. Step 6: Final answer
    x = 10,769.50

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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.