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Finding the Fourth Proportional to 20,297.71, 30,451.85 and 8,447.74

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Solution

The fourth proportional to 20,297.71, 30,451.85 and 8,447.74 is: 12,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.71 : 30,451.85 = 8,447.74 : x
  2. Step 2: Convert to fraction form
    20,297.71/30,451.85 = 8,447.74/x
  3. Step 3: Cross multiply
    20,297.71x = 30,451.85 × 8,447.74
  4. Step 4: Simplify right side
    20,297.71x = 257,249,395.92
  5. Step 5: Solve for x
    x = 257,249,395.92/20,297.71
  6. Step 6: Final answer
    x = 12,673.81

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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.