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Finding the Fourth Proportional to 20,698.26, 31,047.03 and 5,115.66

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Solution

The fourth proportional to 20,698.26, 31,047.03 and 5,115.66 is: 7,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.26 : 31,047.03 = 5,115.66 : x
  2. Step 2: Convert to fraction form
    20,698.26/31,047.03 = 5,115.66/x
  3. Step 3: Cross multiply
    20,698.26x = 31,047.03 × 5,115.66
  4. Step 4: Simplify right side
    20,698.26x = 158,826,049.49
  5. Step 5: Solve for x
    x = 158,826,049.49/20,698.26
  6. Step 6: Final answer
    x = 7,673.40

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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.