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Finding the Fourth Proportional to 12,850.91, 17,727.41 and 7,816.67

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Solution

The fourth proportional to 12,850.91, 17,727.41 and 7,816.67 is: 10,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.91 : 17,727.41 = 7,816.67 : x
  2. Step 2: Convert to fraction form
    12,850.91/17,727.41 = 7,816.67/x
  3. Step 3: Cross multiply
    12,850.91x = 17,727.41 × 7,816.67
  4. Step 4: Simplify right side
    12,850.91x = 138,569,186.20
  5. Step 5: Solve for x
    x = 138,569,186.20/12,850.91
  6. Step 6: Final answer
    x = 10,782.83

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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.