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Finding the Fourth Proportional to 13,917.17, 19,205.24 and 7,867.64

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Solution

The fourth proportional to 13,917.17, 19,205.24 and 7,867.64 is: 10,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.17 : 19,205.24 = 7,867.64 : x
  2. Step 2: Convert to fraction form
    13,917.17/19,205.24 = 7,867.64/x
  3. Step 3: Cross multiply
    13,917.17x = 19,205.24 × 7,867.64
  4. Step 4: Simplify right side
    13,917.17x = 151,099,935.48
  5. Step 5: Solve for x
    x = 151,099,935.48/13,917.17
  6. Step 6: Final answer
    x = 10,857.09

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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.