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Finding the Fourth Proportional to 20,958.71, 31,437.92 and 8,478.56

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Solution

The fourth proportional to 20,958.71, 31,437.92 and 8,478.56 is: 12,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958.71 : 31,437.92 = 8,478.56 : x
  2. Step 2: Convert to fraction form
    20,958.71/31,437.92 = 8,478.56/x
  3. Step 3: Cross multiply
    20,958.71x = 31,437.92 × 8,478.56
  4. Step 4: Simplify right side
    20,958.71x = 266,548,091.41
  5. Step 5: Solve for x
    x = 266,548,091.41/20,958.71
  6. Step 6: Final answer
    x = 12,717.77

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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.