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Finding the Fourth Proportional to 13,680.87, 18,879.33 and 7,712.43

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Solution

The fourth proportional to 13,680.87, 18,879.33 and 7,712.43 is: 10,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.87 : 18,879.33 = 7,712.43 : x
  2. Step 2: Convert to fraction form
    13,680.87/18,879.33 = 7,712.43/x
  3. Step 3: Cross multiply
    13,680.87x = 18,879.33 × 7,712.43
  4. Step 4: Simplify right side
    13,680.87x = 145,605,511.07
  5. Step 5: Solve for x
    x = 145,605,511.07/13,680.87
  6. Step 6: Final answer
    x = 10,643.00

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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.