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Finding the Fourth Proportional to 12,846.89, 17,716.08 and 10,320.91

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Solution

The fourth proportional to 12,846.89, 17,716.08 and 10,320.91 is: 14,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.89 : 17,716.08 = 10,320.91 : x
  2. Step 2: Convert to fraction form
    12,846.89/17,716.08 = 10,320.91/x
  3. Step 3: Cross multiply
    12,846.89x = 17,716.08 × 10,320.91
  4. Step 4: Simplify right side
    12,846.89x = 182,846,067.23
  5. Step 5: Solve for x
    x = 182,846,067.23/12,846.89
  6. Step 6: Final answer
    x = 14,232.71

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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.