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Finding the Fourth Proportional to 13,806.66, 20,709.90 and 8,261.55

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Solution

The fourth proportional to 13,806.66, 20,709.90 and 8,261.55 is: 12,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.66 : 20,709.90 = 8,261.55 : x
  2. Step 2: Convert to fraction form
    13,806.66/20,709.90 = 8,261.55/x
  3. Step 3: Cross multiply
    13,806.66x = 20,709.90 × 8,261.55
  4. Step 4: Simplify right side
    13,806.66x = 171,095,874.35
  5. Step 5: Solve for x
    x = 171,095,874.35/13,806.66
  6. Step 6: Final answer
    x = 12,392.27

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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.