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Finding the Fourth Proportional to 13,515.66, 18,649.64 and 8,201.25

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Solution

The fourth proportional to 13,515.66, 18,649.64 and 8,201.25 is: 11,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.66 : 18,649.64 = 8,201.25 : x
  2. Step 2: Convert to fraction form
    13,515.66/18,649.64 = 8,201.25/x
  3. Step 3: Cross multiply
    13,515.66x = 18,649.64 × 8,201.25
  4. Step 4: Simplify right side
    13,515.66x = 152,950,380.55
  5. Step 5: Solve for x
    x = 152,950,380.55/13,515.66
  6. Step 6: Final answer
    x = 11,316.53

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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.