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Finding the Fourth Proportional to 12,174.94, 18,251.34 and 6,335.56

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Solution

The fourth proportional to 12,174.94, 18,251.34 and 6,335.56 is: 9,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.94 : 18,251.34 = 6,335.56 : x
  2. Step 2: Convert to fraction form
    12,174.94/18,251.34 = 6,335.56/x
  3. Step 3: Cross multiply
    12,174.94x = 18,251.34 × 6,335.56
  4. Step 4: Simplify right side
    12,174.94x = 115,632,459.65
  5. Step 5: Solve for x
    x = 115,632,459.65/12,174.94
  6. Step 6: Final answer
    x = 9,497.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.