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Finding the Fourth Proportional to 18,578.36, 27,846.59 and 9,225.06

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Solution

The fourth proportional to 18,578.36, 27,846.59 and 9,225.06 is: 13,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.36 : 27,846.59 = 9,225.06 : x
  2. Step 2: Convert to fraction form
    18,578.36/27,846.59 = 9,225.06/x
  3. Step 3: Cross multiply
    18,578.36x = 27,846.59 × 9,225.06
  4. Step 4: Simplify right side
    18,578.36x = 256,886,469.63
  5. Step 5: Solve for x
    x = 256,886,469.63/18,578.36
  6. Step 6: Final answer
    x = 13,827.19

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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.