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Finding the Fourth Proportional to 12,222.68, 18,331.64 and 5,201.36

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Solution

The fourth proportional to 12,222.68, 18,331.64 and 5,201.36 is: 7,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.68 : 18,331.64 = 5,201.36 : x
  2. Step 2: Convert to fraction form
    12,222.68/18,331.64 = 5,201.36/x
  3. Step 3: Cross multiply
    12,222.68x = 18,331.64 × 5,201.36
  4. Step 4: Simplify right side
    12,222.68x = 95,349,459.03
  5. Step 5: Solve for x
    x = 95,349,459.03/12,222.68
  6. Step 6: Final answer
    x = 7,801.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.