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Finding the Fourth Proportional to 23,792.62, 32,833.34 and 13,182.34

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Solution

The fourth proportional to 23,792.62, 32,833.34 and 13,182.34 is: 18,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.62 : 32,833.34 = 13,182.34 : x
  2. Step 2: Convert to fraction form
    23,792.62/32,833.34 = 13,182.34/x
  3. Step 3: Cross multiply
    23,792.62x = 32,833.34 × 13,182.34
  4. Step 4: Simplify right side
    23,792.62x = 432,820,251.22
  5. Step 5: Solve for x
    x = 432,820,251.22/23,792.62
  6. Step 6: Final answer
    x = 18,191.37

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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.