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Finding the Fourth Proportional to 20,469.09, 30,703.62 and 5,678.00

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Solution

The fourth proportional to 20,469.09, 30,703.62 and 5,678.00 is: 8,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.09 : 30,703.62 = 5,678.00 : x
  2. Step 2: Convert to fraction form
    20,469.09/30,703.62 = 5,678.00/x
  3. Step 3: Cross multiply
    20,469.09x = 30,703.62 × 5,678.00
  4. Step 4: Simplify right side
    20,469.09x = 174,335,245.31
  5. Step 5: Solve for x
    x = 174,335,245.31/20,469.09
  6. Step 6: Final answer
    x = 8,517.00

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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.