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Finding the Fourth Proportional to 22,282.16, 30,749.37 and 12,211.22

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Solution

The fourth proportional to 22,282.16, 30,749.37 and 12,211.22 is: 16,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.16 : 30,749.37 = 12,211.22 : x
  2. Step 2: Convert to fraction form
    22,282.16/30,749.37 = 12,211.22/x
  3. Step 3: Cross multiply
    22,282.16x = 30,749.37 × 12,211.22
  4. Step 4: Simplify right side
    22,282.16x = 375,487,321.93
  5. Step 5: Solve for x
    x = 375,487,321.93/22,282.16
  6. Step 6: Final answer
    x = 16,851.48

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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.