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Finding the Fourth Proportional to 20,009.85, 29,988.81 and 8,149.83

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Solution

The fourth proportional to 20,009.85, 29,988.81 and 8,149.83 is: 12,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.85 : 29,988.81 = 8,149.83 : x
  2. Step 2: Convert to fraction form
    20,009.85/29,988.81 = 8,149.83/x
  3. Step 3: Cross multiply
    20,009.85x = 29,988.81 × 8,149.83
  4. Step 4: Simplify right side
    20,009.85x = 244,403,703.40
  5. Step 5: Solve for x
    x = 244,403,703.40/20,009.85
  6. Step 6: Final answer
    x = 12,214.17

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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.