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Finding the Fourth Proportional to 23,692.64, 35,534.66 and 6,161.38

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Solution

The fourth proportional to 23,692.64, 35,534.66 and 6,161.38 is: 9,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.64 : 35,534.66 = 6,161.38 : x
  2. Step 2: Convert to fraction form
    23,692.64/35,534.66 = 6,161.38/x
  3. Step 3: Cross multiply
    23,692.64x = 35,534.66 × 6,161.38
  4. Step 4: Simplify right side
    23,692.64x = 218,942,543.43
  5. Step 5: Solve for x
    x = 218,942,543.43/23,692.64
  6. Step 6: Final answer
    x = 9,240.95

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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.