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Finding the Fourth Proportional to 13,680.62, 18,879.42 and 7,712.29

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Solution

The fourth proportional to 13,680.62, 18,879.42 and 7,712.29 is: 10,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.62 : 18,879.42 = 7,712.29 : x
  2. Step 2: Convert to fraction form
    13,680.62/18,879.42 = 7,712.29/x
  3. Step 3: Cross multiply
    13,680.62x = 18,879.42 × 7,712.29
  4. Step 4: Simplify right side
    13,680.62x = 145,603,562.07
  5. Step 5: Solve for x
    x = 145,603,562.07/13,680.62
  6. Step 6: Final answer
    x = 10,643.05

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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.