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Finding the Fourth Proportional to 12,014.26, 16,578.40 and 6,977.49

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Solution

The fourth proportional to 12,014.26, 16,578.40 and 6,977.49 is: 9,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.26 : 16,578.40 = 6,977.49 : x
  2. Step 2: Convert to fraction form
    12,014.26/16,578.40 = 6,977.49/x
  3. Step 3: Cross multiply
    12,014.26x = 16,578.40 × 6,977.49
  4. Step 4: Simplify right side
    12,014.26x = 115,675,620.22
  5. Step 5: Solve for x
    x = 115,675,620.22/12,014.26
  6. Step 6: Final answer
    x = 9,628.19

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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.