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Finding the Fourth Proportional to 20,072.81, 30,109.22 and 6,221.81

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Solution

The fourth proportional to 20,072.81, 30,109.22 and 6,221.81 is: 9,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.81 : 30,109.22 = 6,221.81 : x
  2. Step 2: Convert to fraction form
    20,072.81/30,109.22 = 6,221.81/x
  3. Step 3: Cross multiply
    20,072.81x = 30,109.22 × 6,221.81
  4. Step 4: Simplify right side
    20,072.81x = 187,333,913.58
  5. Step 5: Solve for x
    x = 187,333,913.58/20,072.81
  6. Step 6: Final answer
    x = 9,332.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.