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Finding the Fourth Proportional to 11,981.70, 16,415.02 and 11,532.78

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Solution

The fourth proportional to 11,981.70, 16,415.02 and 11,532.78 is: 15,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.70 : 16,415.02 = 11,532.78 : x
  2. Step 2: Convert to fraction form
    11,981.70/16,415.02 = 11,532.78/x
  3. Step 3: Cross multiply
    11,981.70x = 16,415.02 × 11,532.78
  4. Step 4: Simplify right side
    11,981.70x = 189,310,785.52
  5. Step 5: Solve for x
    x = 189,310,785.52/11,981.70
  6. Step 6: Final answer
    x = 15,799.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.