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Finding the Fourth Proportional to 20,776.10, 31,164.20 and 8,297.14

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Solution

The fourth proportional to 20,776.10, 31,164.20 and 8,297.14 is: 12,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.10 : 31,164.20 = 8,297.14 : x
  2. Step 2: Convert to fraction form
    20,776.10/31,164.20 = 8,297.14/x
  3. Step 3: Cross multiply
    20,776.10x = 31,164.20 × 8,297.14
  4. Step 4: Simplify right side
    20,776.10x = 258,573,730.39
  5. Step 5: Solve for x
    x = 258,573,730.39/20,776.10
  6. Step 6: Final answer
    x = 12,445.73

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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.