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Finding the Fourth Proportional to 12,232.24, 16,880.04 and 6,643.12

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Solution

The fourth proportional to 12,232.24, 16,880.04 and 6,643.12 is: 9,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.24 : 16,880.04 = 6,643.12 : x
  2. Step 2: Convert to fraction form
    12,232.24/16,880.04 = 6,643.12/x
  3. Step 3: Cross multiply
    12,232.24x = 16,880.04 × 6,643.12
  4. Step 4: Simplify right side
    12,232.24x = 112,136,131.32
  5. Step 5: Solve for x
    x = 112,136,131.32/12,232.24
  6. Step 6: Final answer
    x = 9,167.26

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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.