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Finding the Fourth Proportional to 13,023.14, 17,974.72 and 8,491.48

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Solution

The fourth proportional to 13,023.14, 17,974.72 and 8,491.48 is: 11,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.14 : 17,974.72 = 8,491.48 : x
  2. Step 2: Convert to fraction form
    13,023.14/17,974.72 = 8,491.48/x
  3. Step 3: Cross multiply
    13,023.14x = 17,974.72 × 8,491.48
  4. Step 4: Simplify right side
    13,023.14x = 152,631,975.39
  5. Step 5: Solve for x
    x = 152,631,975.39/13,023.14
  6. Step 6: Final answer
    x = 11,720.06

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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.