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Finding the Fourth Proportional to 13,149.49, 19,674.82 and 7,865.05

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Solution

The fourth proportional to 13,149.49, 19,674.82 and 7,865.05 is: 11,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.49 : 19,674.82 = 7,865.05 : x
  2. Step 2: Convert to fraction form
    13,149.49/19,674.82 = 7,865.05/x
  3. Step 3: Cross multiply
    13,149.49x = 19,674.82 × 7,865.05
  4. Step 4: Simplify right side
    13,149.49x = 154,743,443.04
  5. Step 5: Solve for x
    x = 154,743,443.04/13,149.49
  6. Step 6: Final answer
    x = 11,768.02

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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.