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Finding the Fourth Proportional to 18,829.76, 28,243.40 and 7,733.56

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Solution

The fourth proportional to 18,829.76, 28,243.40 and 7,733.56 is: 11,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.76 : 28,243.40 = 7,733.56 : x
  2. Step 2: Convert to fraction form
    18,829.76/28,243.40 = 7,733.56/x
  3. Step 3: Cross multiply
    18,829.76x = 28,243.40 × 7,733.56
  4. Step 4: Simplify right side
    18,829.76x = 218,422,028.50
  5. Step 5: Solve for x
    x = 218,422,028.50/18,829.76
  6. Step 6: Final answer
    x = 11,599.83

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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.