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Finding the Fourth Proportional to 23,816.40, 35,692.20 and 15,896.40

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Solution

The fourth proportional to 23,816.40, 35,692.20 and 15,896.40 is: 23,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.40 : 35,692.20 = 15,896.40 : x
  2. Step 2: Convert to fraction form
    23,816.40/35,692.20 = 15,896.40/x
  3. Step 3: Cross multiply
    23,816.40x = 35,692.20 × 15,896.40
  4. Step 4: Simplify right side
    23,816.40x = 567,377,488.08
  5. Step 5: Solve for x
    x = 567,377,488.08/23,816.40
  6. Step 6: Final answer
    x = 23,822.97

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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.