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Finding the Fourth Proportional to 18,603.18, 27,902.34 and 8,212.50

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Solution

The fourth proportional to 18,603.18, 27,902.34 and 8,212.50 is: 12,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,603.18 : 27,902.34 = 8,212.50 : x
  2. Step 2: Convert to fraction form
    18,603.18/27,902.34 = 8,212.50/x
  3. Step 3: Cross multiply
    18,603.18x = 27,902.34 × 8,212.50
  4. Step 4: Simplify right side
    18,603.18x = 229,147,967.25
  5. Step 5: Solve for x
    x = 229,147,967.25/18,603.18
  6. Step 6: Final answer
    x = 12,317.68

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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.