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Finding the Fourth Proportional to 13,093.14, 19,628.53 and 5,691.97

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Solution

The fourth proportional to 13,093.14, 19,628.53 and 5,691.97 is: 8,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.14 : 19,628.53 = 5,691.97 : x
  2. Step 2: Convert to fraction form
    13,093.14/19,628.53 = 5,691.97/x
  3. Step 3: Cross multiply
    13,093.14x = 19,628.53 × 5,691.97
  4. Step 4: Simplify right side
    13,093.14x = 111,725,014.21
  5. Step 5: Solve for x
    x = 111,725,014.21/13,093.14
  6. Step 6: Final answer
    x = 8,533.09

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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.