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Finding the Fourth Proportional to 12,199.13, 16,838.75 and 7,163.22

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Solution

The fourth proportional to 12,199.13, 16,838.75 and 7,163.22 is: 9,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.13 : 16,838.75 = 7,163.22 : x
  2. Step 2: Convert to fraction form
    12,199.13/16,838.75 = 7,163.22/x
  3. Step 3: Cross multiply
    12,199.13x = 16,838.75 × 7,163.22
  4. Step 4: Simplify right side
    12,199.13x = 120,619,670.78
  5. Step 5: Solve for x
    x = 120,619,670.78/12,199.13
  6. Step 6: Final answer
    x = 9,887.56

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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.