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Finding the Fourth Proportional to 18,536.22, 27,800.97 and 7,442.46

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Solution

The fourth proportional to 18,536.22, 27,800.97 and 7,442.46 is: 11,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.22 : 27,800.97 = 7,442.46 : x
  2. Step 2: Convert to fraction form
    18,536.22/27,800.97 = 7,442.46/x
  3. Step 3: Cross multiply
    18,536.22x = 27,800.97 × 7,442.46
  4. Step 4: Simplify right side
    18,536.22x = 206,907,607.19
  5. Step 5: Solve for x
    x = 206,907,607.19/18,536.22
  6. Step 6: Final answer
    x = 11,162.34

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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.