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Finding the Fourth Proportional to 17,766.36, 24,505.74 and 10,685.34

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Solution

The fourth proportional to 17,766.36, 24,505.74 and 10,685.34 is: 14,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.36 : 24,505.74 = 10,685.34 : x
  2. Step 2: Convert to fraction form
    17,766.36/24,505.74 = 10,685.34/x
  3. Step 3: Cross multiply
    17,766.36x = 24,505.74 × 10,685.34
  4. Step 4: Simplify right side
    17,766.36x = 261,852,163.85
  5. Step 5: Solve for x
    x = 261,852,163.85/17,766.36
  6. Step 6: Final answer
    x = 14,738.65

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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.