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Finding the Fourth Proportional to 20,714.50, 31,073.10 and 5,924.62

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Solution

The fourth proportional to 20,714.50, 31,073.10 and 5,924.62 is: 8,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.50 : 31,073.10 = 5,924.62 : x
  2. Step 2: Convert to fraction form
    20,714.50/31,073.10 = 5,924.62/x
  3. Step 3: Cross multiply
    20,714.50x = 31,073.10 × 5,924.62
  4. Step 4: Simplify right side
    20,714.50x = 184,096,309.72
  5. Step 5: Solve for x
    x = 184,096,309.72/20,714.50
  6. Step 6: Final answer
    x = 8,887.32

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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.