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Finding the Fourth Proportional to 12,896.45, 17,787.22 and 11,107.05

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Solution

The fourth proportional to 12,896.45, 17,787.22 and 11,107.05 is: 15,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.45 : 17,787.22 = 11,107.05 : x
  2. Step 2: Convert to fraction form
    12,896.45/17,787.22 = 11,107.05/x
  3. Step 3: Cross multiply
    12,896.45x = 17,787.22 × 11,107.05
  4. Step 4: Simplify right side
    12,896.45x = 197,563,541.90
  5. Step 5: Solve for x
    x = 197,563,541.90/12,896.45
  6. Step 6: Final answer
    x = 15,319.22

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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.