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Finding the Fourth Proportional to 20,224.25, 30,337.91 and 6,893.10

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Solution

The fourth proportional to 20,224.25, 30,337.91 and 6,893.10 is: 10,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.25 : 30,337.91 = 6,893.10 : x
  2. Step 2: Convert to fraction form
    20,224.25/30,337.91 = 6,893.10/x
  3. Step 3: Cross multiply
    20,224.25x = 30,337.91 × 6,893.10
  4. Step 4: Simplify right side
    20,224.25x = 209,122,238.80
  5. Step 5: Solve for x
    x = 209,122,238.80/20,224.25
  6. Step 6: Final answer
    x = 10,340.17

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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.