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Finding the Fourth Proportional to 11,823.45, 17,735.17 and 4,032.33

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Solution

The fourth proportional to 11,823.45, 17,735.17 and 4,032.33 is: 6,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.45 : 17,735.17 = 4,032.33 : x
  2. Step 2: Convert to fraction form
    11,823.45/17,735.17 = 4,032.33/x
  3. Step 3: Cross multiply
    11,823.45x = 17,735.17 × 4,032.33
  4. Step 4: Simplify right side
    11,823.45x = 71,514,018.75
  5. Step 5: Solve for x
    x = 71,514,018.75/11,823.45
  6. Step 6: Final answer
    x = 6,048.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.