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Finding the Fourth Proportional to 23,938, 35,913.83 and 8,146.49

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Solution

The fourth proportional to 23,938, 35,913.83 and 8,146.49 is: 12,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,938 : 35,913.83 = 8,146.49 : x
  2. Step 2: Convert to fraction form
    23,938/35,913.83 = 8,146.49/x
  3. Step 3: Cross multiply
    23,938x = 35,913.83 × 8,146.49
  4. Step 4: Simplify right side
    23,938x = 292,571,656.96
  5. Step 5: Solve for x
    x = 292,571,656.96/23,938
  6. Step 6: Final answer
    x = 12,222.06

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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.