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Finding the Fourth Proportional to 17,782.38, 24,545.16 and 11,493.54

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Solution

The fourth proportional to 17,782.38, 24,545.16 and 11,493.54 is: 15,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.38 : 24,545.16 = 11,493.54 : x
  2. Step 2: Convert to fraction form
    17,782.38/24,545.16 = 11,493.54/x
  3. Step 3: Cross multiply
    17,782.38x = 24,545.16 × 11,493.54
  4. Step 4: Simplify right side
    17,782.38x = 282,110,778.27
  5. Step 5: Solve for x
    x = 282,110,778.27/17,782.38
  6. Step 6: Final answer
    x = 15,864.62

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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.