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Finding the Fourth Proportional to 27,578.70, 41,369.40 and 14,456.70

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Solution

The fourth proportional to 27,578.70, 41,369.40 and 14,456.70 is: 21,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.70 : 41,369.40 = 14,456.70 : x
  2. Step 2: Convert to fraction form
    27,578.70/41,369.40 = 14,456.70/x
  3. Step 3: Cross multiply
    27,578.70x = 41,369.40 × 14,456.70
  4. Step 4: Simplify right side
    27,578.70x = 598,065,004.98
  5. Step 5: Solve for x
    x = 598,065,004.98/27,578.70
  6. Step 6: Final answer
    x = 21,685.76

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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.