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Finding the Fourth Proportional to 20,509.00, 30,761.96 and 6,469.49

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Solution

The fourth proportional to 20,509.00, 30,761.96 and 6,469.49 is: 9,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.00 : 30,761.96 = 6,469.49 : x
  2. Step 2: Convert to fraction form
    20,509.00/30,761.96 = 6,469.49/x
  3. Step 3: Cross multiply
    20,509.00x = 30,761.96 × 6,469.49
  4. Step 4: Simplify right side
    20,509.00x = 199,014,054.96
  5. Step 5: Solve for x
    x = 199,014,054.96/20,509.00
  6. Step 6: Final answer
    x = 9,703.74

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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.