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Finding the Fourth Proportional to 11,940.21, 16,510.23 and 10,074.78

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Solution

The fourth proportional to 11,940.21, 16,510.23 and 10,074.78 is: 13,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.21 : 16,510.23 = 10,074.78 : x
  2. Step 2: Convert to fraction form
    11,940.21/16,510.23 = 10,074.78/x
  3. Step 3: Cross multiply
    11,940.21x = 16,510.23 × 10,074.78
  4. Step 4: Simplify right side
    11,940.21x = 166,336,935.00
  5. Step 5: Solve for x
    x = 166,336,935.00/11,940.21
  6. Step 6: Final answer
    x = 13,930.82

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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.