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Finding the Fourth Proportional to 16,780.90, 25,169.89 and 7,894.14

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Solution

The fourth proportional to 16,780.90, 25,169.89 and 7,894.14 is: 11,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.90 : 25,169.89 = 7,894.14 : x
  2. Step 2: Convert to fraction form
    16,780.90/25,169.89 = 7,894.14/x
  3. Step 3: Cross multiply
    16,780.90x = 25,169.89 × 7,894.14
  4. Step 4: Simplify right side
    16,780.90x = 198,694,635.44
  5. Step 5: Solve for x
    x = 198,694,635.44/16,780.90
  6. Step 6: Final answer
    x = 11,840.52

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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.