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Finding the Fourth Proportional to 20,165.13, 30,247.83 and 6,314.13

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Solution

The fourth proportional to 20,165.13, 30,247.83 and 6,314.13 is: 9,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.13 : 30,247.83 = 6,314.13 : x
  2. Step 2: Convert to fraction form
    20,165.13/30,247.83 = 6,314.13/x
  3. Step 3: Cross multiply
    20,165.13x = 30,247.83 × 6,314.13
  4. Step 4: Simplify right side
    20,165.13x = 190,988,730.84
  5. Step 5: Solve for x
    x = 190,988,730.84/20,165.13
  6. Step 6: Final answer
    x = 9,471.24

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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.