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Finding the Fourth Proportional to 12,633.28, 17,440.32 and 8,656

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Solution

The fourth proportional to 12,633.28, 17,440.32 and 8,656 is: 11,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.28 : 17,440.32 = 8,656 : x
  2. Step 2: Convert to fraction form
    12,633.28/17,440.32 = 8,656/x
  3. Step 3: Cross multiply
    12,633.28x = 17,440.32 × 8,656
  4. Step 4: Simplify right side
    12,633.28x = 150,963,409.92
  5. Step 5: Solve for x
    x = 150,963,409.92/12,633.28
  6. Step 6: Final answer
    x = 11,949.66

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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.