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Finding the Fourth Proportional to 17,760.96, 24,509.16 and 11,046.39

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Solution

The fourth proportional to 17,760.96, 24,509.16 and 11,046.39 is: 15,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.96 : 24,509.16 = 11,046.39 : x
  2. Step 2: Convert to fraction form
    17,760.96/24,509.16 = 11,046.39/x
  3. Step 3: Cross multiply
    17,760.96x = 24,509.16 × 11,046.39
  4. Step 4: Simplify right side
    17,760.96x = 270,737,739.93
  5. Step 5: Solve for x
    x = 270,737,739.93/17,760.96
  6. Step 6: Final answer
    x = 15,243.42

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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.