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Finding the Fourth Proportional to 23,487.08, 35,236.08 and 7,692.02

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Solution

The fourth proportional to 23,487.08, 35,236.08 and 7,692.02 is: 11,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.08 : 35,236.08 = 7,692.02 : x
  2. Step 2: Convert to fraction form
    23,487.08/35,236.08 = 7,692.02/x
  3. Step 3: Cross multiply
    23,487.08x = 35,236.08 × 7,692.02
  4. Step 4: Simplify right side
    23,487.08x = 271,036,455.90
  5. Step 5: Solve for x
    x = 271,036,455.90/23,487.08
  6. Step 6: Final answer
    x = 11,539.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.