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Finding the Fourth Proportional to 20,179.67, 30,269.57 and 9,784.13

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Solution

The fourth proportional to 20,179.67, 30,269.57 and 9,784.13 is: 14,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.67 : 30,269.57 = 9,784.13 : x
  2. Step 2: Convert to fraction form
    20,179.67/30,269.57 = 9,784.13/x
  3. Step 3: Cross multiply
    20,179.67x = 30,269.57 × 9,784.13
  4. Step 4: Simplify right side
    20,179.67x = 296,161,207.66
  5. Step 5: Solve for x
    x = 296,161,207.66/20,179.67
  6. Step 6: Final answer
    x = 14,676.22

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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.