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Finding the Fourth Proportional to 20,234.71, 27,924.15 and 11,737.19

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Solution

The fourth proportional to 20,234.71, 27,924.15 and 11,737.19 is: 16,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.71 : 27,924.15 = 11,737.19 : x
  2. Step 2: Convert to fraction form
    20,234.71/27,924.15 = 11,737.19/x
  3. Step 3: Cross multiply
    20,234.71x = 27,924.15 × 11,737.19
  4. Step 4: Simplify right side
    20,234.71x = 327,750,914.52
  5. Step 5: Solve for x
    x = 327,750,914.52/20,234.71
  6. Step 6: Final answer
    x = 16,197.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.