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Finding the Fourth Proportional to 18,777.74, 28,157.60 and 7,083.50

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Solution

The fourth proportional to 18,777.74, 28,157.60 and 7,083.50 is: 10,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,777.74 : 28,157.60 = 7,083.50 : x
  2. Step 2: Convert to fraction form
    18,777.74/28,157.60 = 7,083.50/x
  3. Step 3: Cross multiply
    18,777.74x = 28,157.60 × 7,083.50
  4. Step 4: Simplify right side
    18,777.74x = 199,454,183.39
  5. Step 5: Solve for x
    x = 199,454,183.39/18,777.74
  6. Step 6: Final answer
    x = 10,621.84

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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.