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Finding the Fourth Proportional to 18,578.76, 27,872.73 and 9,223.17

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Solution

The fourth proportional to 18,578.76, 27,872.73 and 9,223.17 is: 13,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.76 : 27,872.73 = 9,223.17 : x
  2. Step 2: Convert to fraction form
    18,578.76/27,872.73 = 9,223.17/x
  3. Step 3: Cross multiply
    18,578.76x = 27,872.73 × 9,223.17
  4. Step 4: Simplify right side
    18,578.76x = 257,074,927.15
  5. Step 5: Solve for x
    x = 257,074,927.15/18,578.76
  6. Step 6: Final answer
    x = 13,837.03

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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.