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Finding the Fourth Proportional to 11,982.41, 17,879.88 and 10,737.14

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Solution

The fourth proportional to 11,982.41, 17,879.88 and 10,737.14 is: 16,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.41 : 17,879.88 = 10,737.14 : x
  2. Step 2: Convert to fraction form
    11,982.41/17,879.88 = 10,737.14/x
  3. Step 3: Cross multiply
    11,982.41x = 17,879.88 × 10,737.14
  4. Step 4: Simplify right side
    11,982.41x = 191,978,685.34
  5. Step 5: Solve for x
    x = 191,978,685.34/11,982.41
  6. Step 6: Final answer
    x = 16,021.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.