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Finding the Fourth Proportional to 17,760.88, 24,332.12 and 17,096.12

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Solution

The fourth proportional to 17,760.88, 24,332.12 and 17,096.12 is: 23,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.88 : 24,332.12 = 17,096.12 : x
  2. Step 2: Convert to fraction form
    17,760.88/24,332.12 = 17,096.12/x
  3. Step 3: Cross multiply
    17,760.88x = 24,332.12 × 17,096.12
  4. Step 4: Simplify right side
    17,760.88x = 415,984,843.37
  5. Step 5: Solve for x
    x = 415,984,843.37/17,760.88
  6. Step 6: Final answer
    x = 23,421.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.