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Finding the Fourth Proportional to 18,410.36, 27,623.75 and 9,643.23

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Solution

The fourth proportional to 18,410.36, 27,623.75 and 9,643.23 is: 14,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,410.36 : 27,623.75 = 9,643.23 : x
  2. Step 2: Convert to fraction form
    18,410.36/27,623.75 = 9,643.23/x
  3. Step 3: Cross multiply
    18,410.36x = 27,623.75 × 9,643.23
  4. Step 4: Simplify right side
    18,410.36x = 266,382,126.50
  5. Step 5: Solve for x
    x = 266,382,126.50/18,410.36
  6. Step 6: Final answer
    x = 14,469.15

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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.