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Finding the Fourth Proportional to 14,171.96, 19,556.42 and 7,884.38

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Solution

The fourth proportional to 14,171.96, 19,556.42 and 7,884.38 is: 10,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.96 : 19,556.42 = 7,884.38 : x
  2. Step 2: Convert to fraction form
    14,171.96/19,556.42 = 7,884.38/x
  3. Step 3: Cross multiply
    14,171.96x = 19,556.42 × 7,884.38
  4. Step 4: Simplify right side
    14,171.96x = 154,190,246.72
  5. Step 5: Solve for x
    x = 154,190,246.72/14,171.96
  6. Step 6: Final answer
    x = 10,879.95

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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.