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Finding the Fourth Proportional to 20,009.92, 29,998.02 and 9,473.82

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Solution

The fourth proportional to 20,009.92, 29,998.02 and 9,473.82 is: 14,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.92 : 29,998.02 = 9,473.82 : x
  2. Step 2: Convert to fraction form
    20,009.92/29,998.02 = 9,473.82/x
  3. Step 3: Cross multiply
    20,009.92x = 29,998.02 × 9,473.82
  4. Step 4: Simplify right side
    20,009.92x = 284,195,841.84
  5. Step 5: Solve for x
    x = 284,195,841.84/20,009.92
  6. Step 6: Final answer
    x = 14,202.75

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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.