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Finding the Fourth Proportional to 12,206.94, 16,845.57 and 6,617.94

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Solution

The fourth proportional to 12,206.94, 16,845.57 and 6,617.94 is: 9,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.94 : 16,845.57 = 6,617.94 : x
  2. Step 2: Convert to fraction form
    12,206.94/16,845.57 = 6,617.94/x
  3. Step 3: Cross multiply
    12,206.94x = 16,845.57 × 6,617.94
  4. Step 4: Simplify right side
    12,206.94x = 111,482,971.53
  5. Step 5: Solve for x
    x = 111,482,971.53/12,206.94
  6. Step 6: Final answer
    x = 9,132.75

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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.