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Finding the Fourth Proportional to 23,879.80, 32,944.68 and 13,806.38

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Solution

The fourth proportional to 23,879.80, 32,944.68 and 13,806.38 is: 19,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,879.80 : 32,944.68 = 13,806.38 : x
  2. Step 2: Convert to fraction form
    23,879.80/32,944.68 = 13,806.38/x
  3. Step 3: Cross multiply
    23,879.80x = 32,944.68 × 13,806.38
  4. Step 4: Simplify right side
    23,879.80x = 454,846,771.06
  5. Step 5: Solve for x
    x = 454,846,771.06/23,879.80
  6. Step 6: Final answer
    x = 19,047.34

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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.