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Finding the Fourth Proportional to 16,819.09, 23,209.44 and 9,265.16

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Solution

The fourth proportional to 16,819.09, 23,209.44 and 9,265.16 is: 12,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.09 : 23,209.44 = 9,265.16 : x
  2. Step 2: Convert to fraction form
    16,819.09/23,209.44 = 9,265.16/x
  3. Step 3: Cross multiply
    16,819.09x = 23,209.44 × 9,265.16
  4. Step 4: Simplify right side
    16,819.09x = 215,039,175.11
  5. Step 5: Solve for x
    x = 215,039,175.11/16,819.09
  6. Step 6: Final answer
    x = 12,785.42

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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.