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Finding the Fourth Proportional to 23,175.86, 34,763.43 and 9,324.50

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Solution

The fourth proportional to 23,175.86, 34,763.43 and 9,324.50 is: 13,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.86 : 34,763.43 = 9,324.50 : x
  2. Step 2: Convert to fraction form
    23,175.86/34,763.43 = 9,324.50/x
  3. Step 3: Cross multiply
    23,175.86x = 34,763.43 × 9,324.50
  4. Step 4: Simplify right side
    23,175.86x = 324,151,603.04
  5. Step 5: Solve for x
    x = 324,151,603.04/23,175.86
  6. Step 6: Final answer
    x = 13,986.61

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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.