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Finding the Fourth Proportional to 18,072.35, 27,094.63 and 9,180.38

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Solution

The fourth proportional to 18,072.35, 27,094.63 and 9,180.38 is: 13,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072.35 : 27,094.63 = 9,180.38 : x
  2. Step 2: Convert to fraction form
    18,072.35/27,094.63 = 9,180.38/x
  3. Step 3: Cross multiply
    18,072.35x = 27,094.63 × 9,180.38
  4. Step 4: Simplify right side
    18,072.35x = 248,738,817.98
  5. Step 5: Solve for x
    x = 248,738,817.98/18,072.35
  6. Step 6: Final answer
    x = 13,763.50

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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.