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Finding the Fourth Proportional to 12,834.45, 17,578.62 and 12,077.78

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Solution

The fourth proportional to 12,834.45, 17,578.62 and 12,077.78 is: 16,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.45 : 17,578.62 = 12,077.78 : x
  2. Step 2: Convert to fraction form
    12,834.45/17,578.62 = 12,077.78/x
  3. Step 3: Cross multiply
    12,834.45x = 17,578.62 × 12,077.78
  4. Step 4: Simplify right side
    12,834.45x = 212,310,617.17
  5. Step 5: Solve for x
    x = 212,310,617.17/12,834.45
  6. Step 6: Final answer
    x = 16,542.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.