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Finding the Fourth Proportional to 23,848.89, 35,773.32 and 8,266.50

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Solution

The fourth proportional to 23,848.89, 35,773.32 and 8,266.50 is: 12,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848.89 : 35,773.32 = 8,266.50 : x
  2. Step 2: Convert to fraction form
    23,848.89/35,773.32 = 8,266.50/x
  3. Step 3: Cross multiply
    23,848.89x = 35,773.32 × 8,266.50
  4. Step 4: Simplify right side
    23,848.89x = 295,720,149.78
  5. Step 5: Solve for x
    x = 295,720,149.78/23,848.89
  6. Step 6: Final answer
    x = 12,399.74

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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.