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Finding the Fourth Proportional to 18,583.15, 27,859.86 and 9,694.03

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Solution

The fourth proportional to 18,583.15, 27,859.86 and 9,694.03 is: 14,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.15 : 27,859.86 = 9,694.03 : x
  2. Step 2: Convert to fraction form
    18,583.15/27,859.86 = 9,694.03/x
  3. Step 3: Cross multiply
    18,583.15x = 27,859.86 × 9,694.03
  4. Step 4: Simplify right side
    18,583.15x = 270,074,179.34
  5. Step 5: Solve for x
    x = 270,074,179.34/18,583.15
  6. Step 6: Final answer
    x = 14,533.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.