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Finding the Fourth Proportional to 12,496.12, 17,244.74 and 6,830.80

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Solution

The fourth proportional to 12,496.12, 17,244.74 and 6,830.80 is: 9,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.12 : 17,244.74 = 6,830.80 : x
  2. Step 2: Convert to fraction form
    12,496.12/17,244.74 = 6,830.80/x
  3. Step 3: Cross multiply
    12,496.12x = 17,244.74 × 6,830.80
  4. Step 4: Simplify right side
    12,496.12x = 117,795,369.99
  5. Step 5: Solve for x
    x = 117,795,369.99/12,496.12
  6. Step 6: Final answer
    x = 9,426.56

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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.