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Finding the Fourth Proportional to 18,319.46, 27,460.73 and 7,221.85

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Solution

The fourth proportional to 18,319.46, 27,460.73 and 7,221.85 is: 10,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,319.46 : 27,460.73 = 7,221.85 : x
  2. Step 2: Convert to fraction form
    18,319.46/27,460.73 = 7,221.85/x
  3. Step 3: Cross multiply
    18,319.46x = 27,460.73 × 7,221.85
  4. Step 4: Simplify right side
    18,319.46x = 198,317,236.84
  5. Step 5: Solve for x
    x = 198,317,236.84/18,319.46
  6. Step 6: Final answer
    x = 10,825.50

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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.