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Finding the Fourth Proportional to 21,692.84, 32,539.26 and 6,108.44

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Solution

The fourth proportional to 21,692.84, 32,539.26 and 6,108.44 is: 9,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.84 : 32,539.26 = 6,108.44 : x
  2. Step 2: Convert to fraction form
    21,692.84/32,539.26 = 6,108.44/x
  3. Step 3: Cross multiply
    21,692.84x = 32,539.26 × 6,108.44
  4. Step 4: Simplify right side
    21,692.84x = 198,764,117.35
  5. Step 5: Solve for x
    x = 198,764,117.35/21,692.84
  6. Step 6: Final answer
    x = 9,162.66

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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.