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Finding the Fourth Proportional to 22,668.84, 34,023.24 and 12,147.48

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Solution

The fourth proportional to 22,668.84, 34,023.24 and 12,147.48 is: 18,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.84 : 34,023.24 = 12,147.48 : x
  2. Step 2: Convert to fraction form
    22,668.84/34,023.24 = 12,147.48/x
  3. Step 3: Cross multiply
    22,668.84x = 34,023.24 × 12,147.48
  4. Step 4: Simplify right side
    22,668.84x = 413,296,627.44
  5. Step 5: Solve for x
    x = 413,296,627.44/22,668.84
  6. Step 6: Final answer
    x = 18,231.93

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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.