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Finding the Fourth Proportional to 20,670.33, 31,005.50 and 6,631.82

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Solution

The fourth proportional to 20,670.33, 31,005.50 and 6,631.82 is: 9,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670.33 : 31,005.50 = 6,631.82 : x
  2. Step 2: Convert to fraction form
    20,670.33/31,005.50 = 6,631.82/x
  3. Step 3: Cross multiply
    20,670.33x = 31,005.50 × 6,631.82
  4. Step 4: Simplify right side
    20,670.33x = 205,622,895.01
  5. Step 5: Solve for x
    x = 205,622,895.01/20,670.33
  6. Step 6: Final answer
    x = 9,947.73

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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.