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Finding the Fourth Proportional to 20,202.81, 30,305.95 and 6,166.00

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Solution

The fourth proportional to 20,202.81, 30,305.95 and 6,166.00 is: 9,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.81 : 30,305.95 = 6,166.00 : x
  2. Step 2: Convert to fraction form
    20,202.81/30,305.95 = 6,166.00/x
  3. Step 3: Cross multiply
    20,202.81x = 30,305.95 × 6,166.00
  4. Step 4: Simplify right side
    20,202.81x = 186,866,305.34
  5. Step 5: Solve for x
    x = 186,866,305.34/20,202.81
  6. Step 6: Final answer
    x = 9,249.52

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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.