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Finding the Fourth Proportional to 22,820.37, 34,230.75 and 8,029.41

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Solution

The fourth proportional to 22,820.37, 34,230.75 and 8,029.41 is: 12,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820.37 : 34,230.75 = 8,029.41 : x
  2. Step 2: Convert to fraction form
    22,820.37/34,230.75 = 8,029.41/x
  3. Step 3: Cross multiply
    22,820.37x = 34,230.75 × 8,029.41
  4. Step 4: Simplify right side
    22,820.37x = 274,852,726.36
  5. Step 5: Solve for x
    x = 274,852,726.36/22,820.37
  6. Step 6: Final answer
    x = 12,044.18

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