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Finding the Fourth Proportional to 23,021.94, 34,529.49 and 6,380.24

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Solution

The fourth proportional to 23,021.94, 34,529.49 and 6,380.24 is: 9,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.94 : 34,529.49 = 6,380.24 : x
  2. Step 2: Convert to fraction form
    23,021.94/34,529.49 = 6,380.24/x
  3. Step 3: Cross multiply
    23,021.94x = 34,529.49 × 6,380.24
  4. Step 4: Simplify right side
    23,021.94x = 220,306,228.73
  5. Step 5: Solve for x
    x = 220,306,228.73/23,021.94
  6. Step 6: Final answer
    x = 9,569.41

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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.