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Finding the Fourth Proportional to 20,832.10, 31,247.86 and 5,037

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Solution

The fourth proportional to 20,832.10, 31,247.86 and 5,037 is: 7,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.10 : 31,247.86 = 5,037 : x
  2. Step 2: Convert to fraction form
    20,832.10/31,247.86 = 5,037/x
  3. Step 3: Cross multiply
    20,832.10x = 31,247.86 × 5,037
  4. Step 4: Simplify right side
    20,832.10x = 157,395,470.82
  5. Step 5: Solve for x
    x = 157,395,470.82/20,832.10
  6. Step 6: Final answer
    x = 7,555.43

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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.