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Finding the Fourth Proportional to 12,065.14, 18,097.44 and 5,493.07

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Solution

The fourth proportional to 12,065.14, 18,097.44 and 5,493.07 is: 8,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.14 : 18,097.44 = 5,493.07 : x
  2. Step 2: Convert to fraction form
    12,065.14/18,097.44 = 5,493.07/x
  3. Step 3: Cross multiply
    12,065.14x = 18,097.44 × 5,493.07
  4. Step 4: Simplify right side
    12,065.14x = 99,410,504.74
  5. Step 5: Solve for x
    x = 99,410,504.74/12,065.14
  6. Step 6: Final answer
    x = 8,239.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.