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Finding the Fourth Proportional to 17,668.07, 24,380.50 and 10,112.68

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Solution

The fourth proportional to 17,668.07, 24,380.50 and 10,112.68 is: 13,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.07 : 24,380.50 = 10,112.68 : x
  2. Step 2: Convert to fraction form
    17,668.07/24,380.50 = 10,112.68/x
  3. Step 3: Cross multiply
    17,668.07x = 24,380.50 × 10,112.68
  4. Step 4: Simplify right side
    17,668.07x = 246,552,022.27
  5. Step 5: Solve for x
    x = 246,552,022.27/17,668.07
  6. Step 6: Final answer
    x = 13,954.67

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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.