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Finding the Fourth Proportional to 23,502.21, 35,249.84 and 6,857.77

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Solution

The fourth proportional to 23,502.21, 35,249.84 and 6,857.77 is: 10,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.21 : 35,249.84 = 6,857.77 : x
  2. Step 2: Convert to fraction form
    23,502.21/35,249.84 = 6,857.77/x
  3. Step 3: Cross multiply
    23,502.21x = 35,249.84 × 6,857.77
  4. Step 4: Simplify right side
    23,502.21x = 241,735,260.97
  5. Step 5: Solve for x
    x = 241,735,260.97/23,502.21
  6. Step 6: Final answer
    x = 10,285.64

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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.