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Finding the Fourth Proportional to 23,792.90, 32,834.42 and 13,183.52

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Solution

The fourth proportional to 23,792.90, 32,834.42 and 13,183.52 is: 18,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.90 : 32,834.42 = 13,183.52 : x
  2. Step 2: Convert to fraction form
    23,792.90/32,834.42 = 13,183.52/x
  3. Step 3: Cross multiply
    23,792.90x = 32,834.42 × 13,183.52
  4. Step 4: Simplify right side
    23,792.90x = 432,873,232.76
  5. Step 5: Solve for x
    x = 432,873,232.76/23,792.90
  6. Step 6: Final answer
    x = 18,193.38

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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.