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Finding the Fourth Proportional to 27,737.70, 41,616.94 and 14,402.37

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Solution

The fourth proportional to 27,737.70, 41,616.94 and 14,402.37 is: 21,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.70 : 41,616.94 = 14,402.37 : x
  2. Step 2: Convert to fraction form
    27,737.70/41,616.94 = 14,402.37/x
  3. Step 3: Cross multiply
    27,737.70x = 41,616.94 × 14,402.37
  4. Step 4: Simplify right side
    27,737.70x = 599,382,288.05
  5. Step 5: Solve for x
    x = 599,382,288.05/27,737.70
  6. Step 6: Final answer
    x = 21,608.94

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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.