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Finding the Fourth Proportional to 13,447.14, 18,556.78 and 7,478.68

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Solution

The fourth proportional to 13,447.14, 18,556.78 and 7,478.68 is: 10,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.14 : 18,556.78 = 7,478.68 : x
  2. Step 2: Convert to fraction form
    13,447.14/18,556.78 = 7,478.68/x
  3. Step 3: Cross multiply
    13,447.14x = 18,556.78 × 7,478.68
  4. Step 4: Simplify right side
    13,447.14x = 138,780,145.36
  5. Step 5: Solve for x
    x = 138,780,145.36/13,447.14
  6. Step 6: Final answer
    x = 10,320.42

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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.