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Finding the Fourth Proportional to 13,471.65, 18,591.12 and 8,165.34

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Solution

The fourth proportional to 13,471.65, 18,591.12 and 8,165.34 is: 11,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.65 : 18,591.12 = 8,165.34 : x
  2. Step 2: Convert to fraction form
    13,471.65/18,591.12 = 8,165.34/x
  3. Step 3: Cross multiply
    13,471.65x = 18,591.12 × 8,165.34
  4. Step 4: Simplify right side
    13,471.65x = 151,802,815.78
  5. Step 5: Solve for x
    x = 151,802,815.78/13,471.65
  6. Step 6: Final answer
    x = 11,268.32

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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.