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Finding the Fourth Proportional to 20,192.40, 30,269.97 and 10,838.97

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Solution

The fourth proportional to 20,192.40, 30,269.97 and 10,838.97 is: 16,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.40 : 30,269.97 = 10,838.97 : x
  2. Step 2: Convert to fraction form
    20,192.40/30,269.97 = 10,838.97/x
  3. Step 3: Cross multiply
    20,192.40x = 30,269.97 × 10,838.97
  4. Step 4: Simplify right side
    20,192.40x = 328,095,296.73
  5. Step 5: Solve for x
    x = 328,095,296.73/20,192.40
  6. Step 6: Final answer
    x = 16,248.45

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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.