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Finding the Fourth Proportional to 16,839, 25,262.15 and 6,450.75

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Solution

The fourth proportional to 16,839, 25,262.15 and 6,450.75 is: 9,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839 : 25,262.15 = 6,450.75 : x
  2. Step 2: Convert to fraction form
    16,839/25,262.15 = 6,450.75/x
  3. Step 3: Cross multiply
    16,839x = 25,262.15 × 6,450.75
  4. Step 4: Simplify right side
    16,839x = 162,959,781.86
  5. Step 5: Solve for x
    x = 162,959,781.86/16,839
  6. Step 6: Final answer
    x = 9,677.52

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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.