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Finding the Fourth Proportional to 18,940.65, 28,406.24 and 7,850.40

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Solution

The fourth proportional to 18,940.65, 28,406.24 and 7,850.40 is: 11,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,940.65 : 28,406.24 = 7,850.40 : x
  2. Step 2: Convert to fraction form
    18,940.65/28,406.24 = 7,850.40/x
  3. Step 3: Cross multiply
    18,940.65x = 28,406.24 × 7,850.40
  4. Step 4: Simplify right side
    18,940.65x = 223,000,346.50
  5. Step 5: Solve for x
    x = 223,000,346.50/18,940.65
  6. Step 6: Final answer
    x = 11,773.64

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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.