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Finding the Fourth Proportional to 13,664, 18,853.08 and 7,694.48

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Solution

The fourth proportional to 13,664, 18,853.08 and 7,694.48 is: 10,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664 : 18,853.08 = 7,694.48 : x
  2. Step 2: Convert to fraction form
    13,664/18,853.08 = 7,694.48/x
  3. Step 3: Cross multiply
    13,664x = 18,853.08 × 7,694.48
  4. Step 4: Simplify right side
    13,664x = 145,064,647.00
  5. Step 5: Solve for x
    x = 145,064,647.00/13,664
  6. Step 6: Final answer
    x = 10,616.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.