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Finding the Fourth Proportional to 17,704.97, 24,431.90 and 10,150.93

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Solution

The fourth proportional to 17,704.97, 24,431.90 and 10,150.93 is: 14,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.97 : 24,431.90 = 10,150.93 : x
  2. Step 2: Convert to fraction form
    17,704.97/24,431.90 = 10,150.93/x
  3. Step 3: Cross multiply
    17,704.97x = 24,431.90 × 10,150.93
  4. Step 4: Simplify right side
    17,704.97x = 248,006,506.67
  5. Step 5: Solve for x
    x = 248,006,506.67/17,704.97
  6. Step 6: Final answer
    x = 14,007.73

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1.5x scale

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.