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Finding the Fourth Proportional to 18,556.83, 27,829.80 and 5,228.94

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Solution

The fourth proportional to 18,556.83, 27,829.80 and 5,228.94 is: 7,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,556.83 : 27,829.80 = 5,228.94 : x
  2. Step 2: Convert to fraction form
    18,556.83/27,829.80 = 5,228.94/x
  3. Step 3: Cross multiply
    18,556.83x = 27,829.80 × 5,228.94
  4. Step 4: Simplify right side
    18,556.83x = 145,520,284.84
  5. Step 5: Solve for x
    x = 145,520,284.84/18,556.83
  6. Step 6: Final answer
    x = 7,841.87

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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.