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Finding the Fourth Proportional to 12,271.70, 18,407.34 and 3,037.70

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Solution

The fourth proportional to 12,271.70, 18,407.34 and 3,037.70 is: 4,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.70 : 18,407.34 = 3,037.70 : x
  2. Step 2: Convert to fraction form
    12,271.70/18,407.34 = 3,037.70/x
  3. Step 3: Cross multiply
    12,271.70x = 18,407.34 × 3,037.70
  4. Step 4: Simplify right side
    12,271.70x = 55,915,884.68
  5. Step 5: Solve for x
    x = 55,915,884.68/12,271.70
  6. Step 6: Final answer
    x = 4,556.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.