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Finding the Fourth Proportional to 17,704.72, 24,431.56 and 10,150.68

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Solution

The fourth proportional to 17,704.72, 24,431.56 and 10,150.68 is: 14,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.72 : 24,431.56 = 10,150.68 : x
  2. Step 2: Convert to fraction form
    17,704.72/24,431.56 = 10,150.68/x
  3. Step 3: Cross multiply
    17,704.72x = 24,431.56 × 10,150.68
  4. Step 4: Simplify right side
    17,704.72x = 247,996,922.08
  5. Step 5: Solve for x
    x = 247,996,922.08/17,704.72
  6. Step 6: Final answer
    x = 14,007.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.