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Finding the Fourth Proportional to 23,778.92, 35,668.68 and 11,300.16

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Solution

The fourth proportional to 23,778.92, 35,668.68 and 11,300.16 is: 16,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.92 : 35,668.68 = 11,300.16 : x
  2. Step 2: Convert to fraction form
    23,778.92/35,668.68 = 11,300.16/x
  3. Step 3: Cross multiply
    23,778.92x = 35,668.68 × 11,300.16
  4. Step 4: Simplify right side
    23,778.92x = 403,061,790.99
  5. Step 5: Solve for x
    x = 403,061,790.99/23,778.92
  6. Step 6: Final answer
    x = 16,950.38

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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.