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Finding the Fourth Proportional to 20,474.91, 30,711.42 and 8,465.58

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Solution

The fourth proportional to 20,474.91, 30,711.42 and 8,465.58 is: 12,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.91 : 30,711.42 = 8,465.58 : x
  2. Step 2: Convert to fraction form
    20,474.91/30,711.42 = 8,465.58/x
  3. Step 3: Cross multiply
    20,474.91x = 30,711.42 × 8,465.58
  4. Step 4: Simplify right side
    20,474.91x = 259,989,982.92
  5. Step 5: Solve for x
    x = 259,989,982.92/20,474.91
  6. Step 6: Final answer
    x = 12,697.98

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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.