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Finding the Fourth Proportional to 20,733.96, 31,105.98 and 6,694.32

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Solution

The fourth proportional to 20,733.96, 31,105.98 and 6,694.32 is: 10,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733.96 : 31,105.98 = 6,694.32 : x
  2. Step 2: Convert to fraction form
    20,733.96/31,105.98 = 6,694.32/x
  3. Step 3: Cross multiply
    20,733.96x = 31,105.98 × 6,694.32
  4. Step 4: Simplify right side
    20,733.96x = 208,233,384.03
  5. Step 5: Solve for x
    x = 208,233,384.03/20,733.96
  6. Step 6: Final answer
    x = 10,043.11

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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.