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Finding the Fourth Proportional to 11,977.64, 16,519.94 and 10,099.56

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Solution

The fourth proportional to 11,977.64, 16,519.94 and 10,099.56 is: 13,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.64 : 16,519.94 = 10,099.56 : x
  2. Step 2: Convert to fraction form
    11,977.64/16,519.94 = 10,099.56/x
  3. Step 3: Cross multiply
    11,977.64x = 16,519.94 × 10,099.56
  4. Step 4: Simplify right side
    11,977.64x = 166,844,125.23
  5. Step 5: Solve for x
    x = 166,844,125.23/11,977.64
  6. Step 6: Final answer
    x = 13,929.63

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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.