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Finding the Fourth Proportional to 12,232.22, 16,880.55 and 6,643.22

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Solution

The fourth proportional to 12,232.22, 16,880.55 and 6,643.22 is: 9,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.22 : 16,880.55 = 6,643.22 : x
  2. Step 2: Convert to fraction form
    12,232.22/16,880.55 = 6,643.22/x
  3. Step 3: Cross multiply
    12,232.22x = 16,880.55 × 6,643.22
  4. Step 4: Simplify right side
    12,232.22x = 112,141,207.37
  5. Step 5: Solve for x
    x = 112,141,207.37/12,232.22
  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.