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Finding the Fourth Proportional to 22,818.14, 31,650.13 and 22,211.24

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Solution

The fourth proportional to 22,818.14, 31,650.13 and 22,211.24 is: 30,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.14 : 31,650.13 = 22,211.24 : x
  2. Step 2: Convert to fraction form
    22,818.14/31,650.13 = 22,211.24/x
  3. Step 3: Cross multiply
    22,818.14x = 31,650.13 × 22,211.24
  4. Step 4: Simplify right side
    22,818.14x = 702,988,633.46
  5. Step 5: Solve for x
    x = 702,988,633.46/22,818.14
  6. Step 6: Final answer
    x = 30,808.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.