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Finding the Fourth Proportional to 16,872.97, 23,284.87 and 9,319.49

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Solution

The fourth proportional to 16,872.97, 23,284.87 and 9,319.49 is: 12,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.97 : 23,284.87 = 9,319.49 : x
  2. Step 2: Convert to fraction form
    16,872.97/23,284.87 = 9,319.49/x
  3. Step 3: Cross multiply
    16,872.97x = 23,284.87 × 9,319.49
  4. Step 4: Simplify right side
    16,872.97x = 217,003,113.12
  5. Step 5: Solve for x
    x = 217,003,113.12/16,872.97
  6. Step 6: Final answer
    x = 12,860.99

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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.