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Finding the Fourth Proportional to 20,191.68, 30,288.88 and 6,866.02

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Solution

The fourth proportional to 20,191.68, 30,288.88 and 6,866.02 is: 10,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.68 : 30,288.88 = 6,866.02 : x
  2. Step 2: Convert to fraction form
    20,191.68/30,288.88 = 6,866.02/x
  3. Step 3: Cross multiply
    20,191.68x = 30,288.88 × 6,866.02
  4. Step 4: Simplify right side
    20,191.68x = 207,964,055.86
  5. Step 5: Solve for x
    x = 207,964,055.86/20,191.68
  6. Step 6: Final answer
    x = 10,299.49

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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.