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Finding the Fourth Proportional to 13,947.84, 19,257.12 and 8,650.44

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Solution

The fourth proportional to 13,947.84, 19,257.12 and 8,650.44 is: 11,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.84 : 19,257.12 = 8,650.44 : x
  2. Step 2: Convert to fraction form
    13,947.84/19,257.12 = 8,650.44/x
  3. Step 3: Cross multiply
    13,947.84x = 19,257.12 × 8,650.44
  4. Step 4: Simplify right side
    13,947.84x = 166,582,561.13
  5. Step 5: Solve for x
    x = 166,582,561.13/13,947.84
  6. Step 6: Final answer
    x = 11,943.25

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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.