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Finding the Fourth Proportional to 11,767.37, 16,203.43 and 10,171.17

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Solution

The fourth proportional to 11,767.37, 16,203.43 and 10,171.17 is: 14,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.37 : 16,203.43 = 10,171.17 : x
  2. Step 2: Convert to fraction form
    11,767.37/16,203.43 = 10,171.17/x
  3. Step 3: Cross multiply
    11,767.37x = 16,203.43 × 10,171.17
  4. Step 4: Simplify right side
    11,767.37x = 164,807,826.03
  5. Step 5: Solve for x
    x = 164,807,826.03/11,767.37
  6. Step 6: Final answer
    x = 14,005.49

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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.