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Finding the Fourth Proportional to 19,761.91, 27,271.42 and 10,809.38

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Solution

The fourth proportional to 19,761.91, 27,271.42 and 10,809.38 is: 14,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.91 : 27,271.42 = 10,809.38 : x
  2. Step 2: Convert to fraction form
    19,761.91/27,271.42 = 10,809.38/x
  3. Step 3: Cross multiply
    19,761.91x = 27,271.42 × 10,809.38
  4. Step 4: Simplify right side
    19,761.91x = 294,787,183.07
  5. Step 5: Solve for x
    x = 294,787,183.07/19,761.91
  6. Step 6: Final answer
    x = 14,916.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.