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Finding the Fourth Proportional to 13,713.57, 18,911.30 and 8,336.74

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Solution

The fourth proportional to 13,713.57, 18,911.30 and 8,336.74 is: 11,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.57 : 18,911.30 = 8,336.74 : x
  2. Step 2: Convert to fraction form
    13,713.57/18,911.30 = 8,336.74/x
  3. Step 3: Cross multiply
    13,713.57x = 18,911.30 × 8,336.74
  4. Step 4: Simplify right side
    13,713.57x = 157,658,591.16
  5. Step 5: Solve for x
    x = 157,658,591.16/13,713.57
  6. Step 6: Final answer
    x = 11,496.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.