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Finding the Fourth Proportional to 16,716.48, 23,067.84 and 9,264

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Solution

The fourth proportional to 16,716.48, 23,067.84 and 9,264 is: 12,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.48 : 23,067.84 = 9,264 : x
  2. Step 2: Convert to fraction form
    16,716.48/23,067.84 = 9,264/x
  3. Step 3: Cross multiply
    16,716.48x = 23,067.84 × 9,264
  4. Step 4: Simplify right side
    16,716.48x = 213,700,469.76
  5. Step 5: Solve for x
    x = 213,700,469.76/16,716.48
  6. Step 6: Final answer
    x = 12,783.82

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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.