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Finding the Fourth Proportional to 12,227.54, 18,306.48 and 8,054.96

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Solution

The fourth proportional to 12,227.54, 18,306.48 and 8,054.96 is: 12,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.54 : 18,306.48 = 8,054.96 : x
  2. Step 2: Convert to fraction form
    12,227.54/18,306.48 = 8,054.96/x
  3. Step 3: Cross multiply
    12,227.54x = 18,306.48 × 8,054.96
  4. Step 4: Simplify right side
    12,227.54x = 147,457,964.14
  5. Step 5: Solve for x
    x = 147,457,964.14/12,227.54
  6. Step 6: Final answer
    x = 12,059.50

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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.