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Finding the Fourth Proportional to 19,078.50, 28,608.02 and 7,982.18

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Solution

The fourth proportional to 19,078.50, 28,608.02 and 7,982.18 is: 11,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,078.50 : 28,608.02 = 7,982.18 : x
  2. Step 2: Convert to fraction form
    19,078.50/28,608.02 = 7,982.18/x
  3. Step 3: Cross multiply
    19,078.50x = 28,608.02 × 7,982.18
  4. Step 4: Simplify right side
    19,078.50x = 228,354,365.08
  5. Step 5: Solve for x
    x = 228,354,365.08/19,078.50
  6. Step 6: Final answer
    x = 11,969.20

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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.