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Finding the Fourth Proportional to 13,144.17, 19,705.79 and 7,591.23

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Solution

The fourth proportional to 13,144.17, 19,705.79 and 7,591.23 is: 11,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.17 : 19,705.79 = 7,591.23 : x
  2. Step 2: Convert to fraction form
    13,144.17/19,705.79 = 7,591.23/x
  3. Step 3: Cross multiply
    13,144.17x = 19,705.79 × 7,591.23
  4. Step 4: Simplify right side
    13,144.17x = 149,591,146.27
  5. Step 5: Solve for x
    x = 149,591,146.27/13,144.17
  6. Step 6: Final answer
    x = 11,380.80

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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.