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Finding the Fourth Proportional to 13,494.17, 20,212.82 and 8,561.21

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Solution

The fourth proportional to 13,494.17, 20,212.82 and 8,561.21 is: 12,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.17 : 20,212.82 = 8,561.21 : x
  2. Step 2: Convert to fraction form
    13,494.17/20,212.82 = 8,561.21/x
  3. Step 3: Cross multiply
    13,494.17x = 20,212.82 × 8,561.21
  4. Step 4: Simplify right side
    13,494.17x = 173,046,153.91
  5. Step 5: Solve for x
    x = 173,046,153.91/13,494.17
  6. Step 6: Final answer
    x = 12,823.77

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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.