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Finding the Fourth Proportional to 23,832.68, 35,749.42 and 8,250.68

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Solution

The fourth proportional to 23,832.68, 35,749.42 and 8,250.68 is: 12,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.68 : 35,749.42 = 8,250.68 : x
  2. Step 2: Convert to fraction form
    23,832.68/35,749.42 = 8,250.68/x
  3. Step 3: Cross multiply
    23,832.68x = 35,749.42 × 8,250.68
  4. Step 4: Simplify right side
    23,832.68x = 294,957,024.61
  5. Step 5: Solve for x
    x = 294,957,024.61/23,832.68
  6. Step 6: Final answer
    x = 12,376.16

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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.