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Finding the Fourth Proportional to 20,605.32, 30,872.67 and 13,838.22

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Solution

The fourth proportional to 20,605.32, 30,872.67 and 13,838.22 is: 20,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.32 : 30,872.67 = 13,838.22 : x
  2. Step 2: Convert to fraction form
    20,605.32/30,872.67 = 13,838.22/x
  3. Step 3: Cross multiply
    20,605.32x = 30,872.67 × 13,838.22
  4. Step 4: Simplify right side
    20,605.32x = 427,222,799.45
  5. Step 5: Solve for x
    x = 427,222,799.45/20,605.32
  6. Step 6: Final answer
    x = 20,733.62

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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.