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Finding the Fourth Proportional to 23,782.92, 32,822.22 and 13,173.54

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Solution

The fourth proportional to 23,782.92, 32,822.22 and 13,173.54 is: 18,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.92 : 32,822.22 = 13,173.54 : x
  2. Step 2: Convert to fraction form
    23,782.92/32,822.22 = 13,173.54/x
  3. Step 3: Cross multiply
    23,782.92x = 32,822.22 × 13,173.54
  4. Step 4: Simplify right side
    23,782.92x = 432,384,828.06
  5. Step 5: Solve for x
    x = 432,384,828.06/23,782.92
  6. Step 6: Final answer
    x = 18,180.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.