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Finding the Fourth Proportional to 20,767.92, 31,144.44 and 7,617.36

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Solution

The fourth proportional to 20,767.92, 31,144.44 and 7,617.36 is: 11,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.92 : 31,144.44 = 7,617.36 : x
  2. Step 2: Convert to fraction form
    20,767.92/31,144.44 = 7,617.36/x
  3. Step 3: Cross multiply
    20,767.92x = 31,144.44 × 7,617.36
  4. Step 4: Simplify right side
    20,767.92x = 237,238,411.48
  5. Step 5: Solve for x
    x = 237,238,411.48/20,767.92
  6. Step 6: Final answer
    x = 11,423.31

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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.