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Finding the Fourth Proportional to 16,805.97, 25,209.41 and 5,119.19

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Solution

The fourth proportional to 16,805.97, 25,209.41 and 5,119.19 is: 7,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.97 : 25,209.41 = 5,119.19 : x
  2. Step 2: Convert to fraction form
    16,805.97/25,209.41 = 5,119.19/x
  3. Step 3: Cross multiply
    16,805.97x = 25,209.41 × 5,119.19
  4. Step 4: Simplify right side
    16,805.97x = 129,051,759.58
  5. Step 5: Solve for x
    x = 129,051,759.58/16,805.97
  6. Step 6: Final answer
    x = 7,678.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.