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Finding the Fourth Proportional to 11,776.90, 17,539.62 and 11,640.82

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Solution

The fourth proportional to 11,776.90, 17,539.62 and 11,640.82 is: 17,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.90 : 17,539.62 = 11,640.82 : x
  2. Step 2: Convert to fraction form
    11,776.90/17,539.62 = 11,640.82/x
  3. Step 3: Cross multiply
    11,776.90x = 17,539.62 × 11,640.82
  4. Step 4: Simplify right side
    11,776.90x = 204,175,559.29
  5. Step 5: Solve for x
    x = 204,175,559.29/11,776.90
  6. Step 6: Final answer
    x = 17,336.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.