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Finding the Fourth Proportional to 22,753.86, 34,162.65 and 11,668.38

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Solution

The fourth proportional to 22,753.86, 34,162.65 and 11,668.38 is: 17,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.86 : 34,162.65 = 11,668.38 : x
  2. Step 2: Convert to fraction form
    22,753.86/34,162.65 = 11,668.38/x
  3. Step 3: Cross multiply
    22,753.86x = 34,162.65 × 11,668.38
  4. Step 4: Simplify right side
    22,753.86x = 398,622,782.01
  5. Step 5: Solve for x
    x = 398,622,782.01/22,753.86
  6. Step 6: Final answer
    x = 17,518.91

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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.