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Finding the Fourth Proportional to 23,404.94, 35,107.41 and 7,822.56

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Solution

The fourth proportional to 23,404.94, 35,107.41 and 7,822.56 is: 11,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404.94 : 35,107.41 = 7,822.56 : x
  2. Step 2: Convert to fraction form
    23,404.94/35,107.41 = 7,822.56/x
  3. Step 3: Cross multiply
    23,404.94x = 35,107.41 × 7,822.56
  4. Step 4: Simplify right side
    23,404.94x = 274,629,821.17
  5. Step 5: Solve for x
    x = 274,629,821.17/23,404.94
  6. Step 6: Final answer
    x = 11,733.84

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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.