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Finding the Fourth Proportional to 19,183.25, 26,471.84 and 10,684.95

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Solution

The fourth proportional to 19,183.25, 26,471.84 and 10,684.95 is: 14,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.25 : 26,471.84 = 10,684.95 : x
  2. Step 2: Convert to fraction form
    19,183.25/26,471.84 = 10,684.95/x
  3. Step 3: Cross multiply
    19,183.25x = 26,471.84 × 10,684.95
  4. Step 4: Simplify right side
    19,183.25x = 282,850,233.38
  5. Step 5: Solve for x
    x = 282,850,233.38/19,183.25
  6. Step 6: Final answer
    x = 14,744.65

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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.