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Finding the Fourth Proportional to 12,605.16, 17,396.24 and 6,940.84

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Solution

The fourth proportional to 12,605.16, 17,396.24 and 6,940.84 is: 9,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.16 : 17,396.24 = 6,940.84 : x
  2. Step 2: Convert to fraction form
    12,605.16/17,396.24 = 6,940.84/x
  3. Step 3: Cross multiply
    12,605.16x = 17,396.24 × 6,940.84
  4. Step 4: Simplify right side
    12,605.16x = 120,744,518.44
  5. Step 5: Solve for x
    x = 120,744,518.44/12,605.16
  6. Step 6: Final answer
    x = 9,578.98

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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.