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Finding the Fourth Proportional to 20,674.96, 31,014.50 and 6,631.48

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Solution

The fourth proportional to 20,674.96, 31,014.50 and 6,631.48 is: 9,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.96 : 31,014.50 = 6,631.48 : x
  2. Step 2: Convert to fraction form
    20,674.96/31,014.50 = 6,631.48/x
  3. Step 3: Cross multiply
    20,674.96x = 31,014.50 × 6,631.48
  4. Step 4: Simplify right side
    20,674.96x = 205,672,036.46
  5. Step 5: Solve for x
    x = 205,672,036.46/20,674.96
  6. Step 6: Final answer
    x = 9,947.88

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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.