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Finding the Fourth Proportional to 21,352.68, 32,029.74 and 5,770.44

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Solution

The fourth proportional to 21,352.68, 32,029.74 and 5,770.44 is: 8,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.68 : 32,029.74 = 5,770.44 : x
  2. Step 2: Convert to fraction form
    21,352.68/32,029.74 = 5,770.44/x
  3. Step 3: Cross multiply
    21,352.68x = 32,029.74 × 5,770.44
  4. Step 4: Simplify right side
    21,352.68x = 184,825,692.89
  5. Step 5: Solve for x
    x = 184,825,692.89/21,352.68
  6. Step 6: Final answer
    x = 8,655.85

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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.