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Finding the Fourth Proportional to 21,674.69, 32,517.05 and 8,349.58

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Solution

The fourth proportional to 21,674.69, 32,517.05 and 8,349.58 is: 12,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.69 : 32,517.05 = 8,349.58 : x
  2. Step 2: Convert to fraction form
    21,674.69/32,517.05 = 8,349.58/x
  3. Step 3: Cross multiply
    21,674.69x = 32,517.05 × 8,349.58
  4. Step 4: Simplify right side
    21,674.69x = 271,503,709.24
  5. Step 5: Solve for x
    x = 271,503,709.24/21,674.69
  6. Step 6: Final answer
    x = 12,526.30

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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.