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Finding the Fourth Proportional to 22,596.68, 31,186.14 and 13,163.42

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Solution

The fourth proportional to 22,596.68, 31,186.14 and 13,163.42 is: 18,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.68 : 31,186.14 = 13,163.42 : x
  2. Step 2: Convert to fraction form
    22,596.68/31,186.14 = 13,163.42/x
  3. Step 3: Cross multiply
    22,596.68x = 31,186.14 × 13,163.42
  4. Step 4: Simplify right side
    22,596.68x = 410,516,259.00
  5. Step 5: Solve for x
    x = 410,516,259.00/22,596.68
  6. Step 6: Final answer
    x = 18,167.11

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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.