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Finding the Fourth Proportional to 14,201.75, 19,598.49 and 8,236.95

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Solution

The fourth proportional to 14,201.75, 19,598.49 and 8,236.95 is: 11,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.75 : 19,598.49 = 8,236.95 : x
  2. Step 2: Convert to fraction form
    14,201.75/19,598.49 = 8,236.95/x
  3. Step 3: Cross multiply
    14,201.75x = 19,598.49 × 8,236.95
  4. Step 4: Simplify right side
    14,201.75x = 161,431,741.02
  5. Step 5: Solve for x
    x = 161,431,741.02/14,201.75
  6. Step 6: Final answer
    x = 11,367.04

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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.