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Finding the Fourth Proportional to 27,467, 41,176.06 and 9,932.93

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Solution

The fourth proportional to 27,467, 41,176.06 and 9,932.93 is: 14,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,467 : 41,176.06 = 9,932.93 : x
  2. Step 2: Convert to fraction form
    27,467/41,176.06 = 9,932.93/x
  3. Step 3: Cross multiply
    27,467x = 41,176.06 × 9,932.93
  4. Step 4: Simplify right side
    27,467x = 408,998,921.66
  5. Step 5: Solve for x
    x = 408,998,921.66/27,467
  6. Step 6: Final answer
    x = 14,890.56

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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.