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Finding the Fourth Proportional to 22,777.67, 31,433.22 and 13,219.43

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Solution

The fourth proportional to 22,777.67, 31,433.22 and 13,219.43 is: 18,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.67 : 31,433.22 = 13,219.43 : x
  2. Step 2: Convert to fraction form
    22,777.67/31,433.22 = 13,219.43/x
  3. Step 3: Cross multiply
    22,777.67x = 31,433.22 × 13,219.43
  4. Step 4: Simplify right side
    22,777.67x = 415,529,094.30
  5. Step 5: Solve for x
    x = 415,529,094.30/22,777.67
  6. Step 6: Final answer
    x = 18,242.83

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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.