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Finding the Fourth Proportional to 20,940.97, 31,416.61 and 10,415.98

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Solution

The fourth proportional to 20,940.97, 31,416.61 and 10,415.98 is: 15,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.97 : 31,416.61 = 10,415.98 : x
  2. Step 2: Convert to fraction form
    20,940.97/31,416.61 = 10,415.98/x
  3. Step 3: Cross multiply
    20,940.97x = 31,416.61 × 10,415.98
  4. Step 4: Simplify right side
    20,940.97x = 327,234,637.47
  5. Step 5: Solve for x
    x = 327,234,637.47/20,940.97
  6. Step 6: Final answer
    x = 15,626.53

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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.