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Finding the Fourth Proportional to 12,232.26, 16,880.50 and 6,643.26

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Solution

The fourth proportional to 12,232.26, 16,880.50 and 6,643.26 is: 9,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.26 : 16,880.50 = 6,643.26 : x
  2. Step 2: Convert to fraction form
    12,232.26/16,880.50 = 6,643.26/x
  3. Step 3: Cross multiply
    12,232.26x = 16,880.50 × 6,643.26
  4. Step 4: Simplify right side
    12,232.26x = 112,141,550.43
  5. Step 5: Solve for x
    x = 112,141,550.43/12,232.26
  6. Step 6: Final answer
    x = 9,167.69

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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.