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Finding the Fourth Proportional to 12,352.85, 17,054.81 and 8,111.44

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Solution

The fourth proportional to 12,352.85, 17,054.81 and 8,111.44 is: 11,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.85 : 17,054.81 = 8,111.44 : x
  2. Step 2: Convert to fraction form
    12,352.85/17,054.81 = 8,111.44/x
  3. Step 3: Cross multiply
    12,352.85x = 17,054.81 × 8,111.44
  4. Step 4: Simplify right side
    12,352.85x = 138,339,068.03
  5. Step 5: Solve for x
    x = 138,339,068.03/12,352.85
  6. Step 6: Final answer
    x = 11,198.96

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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.