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Finding the Fourth Proportional to 16,054.40, 22,163.82 and 9,682.14

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Solution

The fourth proportional to 16,054.40, 22,163.82 and 9,682.14 is: 13,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.40 : 22,163.82 = 9,682.14 : x
  2. Step 2: Convert to fraction form
    16,054.40/22,163.82 = 9,682.14/x
  3. Step 3: Cross multiply
    16,054.40x = 22,163.82 × 9,682.14
  4. Step 4: Simplify right side
    16,054.40x = 214,593,208.17
  5. Step 5: Solve for x
    x = 214,593,208.17/16,054.40
  6. Step 6: Final answer
    x = 13,366.63

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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.