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Finding the Fourth Proportional to 12,221.24, 18,341.08 and 8,942.80

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Solution

The fourth proportional to 12,221.24, 18,341.08 and 8,942.80 is: 13,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.24 : 18,341.08 = 8,942.80 : x
  2. Step 2: Convert to fraction form
    12,221.24/18,341.08 = 8,942.80/x
  3. Step 3: Cross multiply
    12,221.24x = 18,341.08 × 8,942.80
  4. Step 4: Simplify right side
    12,221.24x = 164,020,610.22
  5. Step 5: Solve for x
    x = 164,020,610.22/12,221.24
  6. Step 6: Final answer
    x = 13,420.95

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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.