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Finding the Fourth Proportional to 13,725.10, 18,940.89 and 8,417.98

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Solution

The fourth proportional to 13,725.10, 18,940.89 and 8,417.98 is: 11,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.10 : 18,940.89 = 8,417.98 : x
  2. Step 2: Convert to fraction form
    13,725.10/18,940.89 = 8,417.98/x
  3. Step 3: Cross multiply
    13,725.10x = 18,940.89 × 8,417.98
  4. Step 4: Simplify right side
    13,725.10x = 159,444,033.20
  5. Step 5: Solve for x
    x = 159,444,033.20/13,725.10
  6. Step 6: Final answer
    x = 11,616.97

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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.