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Finding the Fourth Proportional to 18,097.02, 27,131.22 and 11,758.50

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Solution

The fourth proportional to 18,097.02, 27,131.22 and 11,758.50 is: 17,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.02 : 27,131.22 = 11,758.50 : x
  2. Step 2: Convert to fraction form
    18,097.02/27,131.22 = 11,758.50/x
  3. Step 3: Cross multiply
    18,097.02x = 27,131.22 × 11,758.50
  4. Step 4: Simplify right side
    18,097.02x = 319,022,450.37
  5. Step 5: Solve for x
    x = 319,022,450.37/18,097.02
  6. Step 6: Final answer
    x = 17,628.45

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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.