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Finding the Fourth Proportional to 13,473.06, 18,593.57 and 8,097.14

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Solution

The fourth proportional to 13,473.06, 18,593.57 and 8,097.14 is: 11,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.06 : 18,593.57 = 8,097.14 : x
  2. Step 2: Convert to fraction form
    13,473.06/18,593.57 = 8,097.14/x
  3. Step 3: Cross multiply
    13,473.06x = 18,593.57 × 8,097.14
  4. Step 4: Simplify right side
    13,473.06x = 150,554,698.90
  5. Step 5: Solve for x
    x = 150,554,698.90/13,473.06
  6. Step 6: Final answer
    x = 11,174.50

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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.