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Finding the Fourth Proportional to 19,321.50, 28,982.26 and 5,470.50

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Solution

The fourth proportional to 19,321.50, 28,982.26 and 5,470.50 is: 8,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321.50 : 28,982.26 = 5,470.50 : x
  2. Step 2: Convert to fraction form
    19,321.50/28,982.26 = 5,470.50/x
  3. Step 3: Cross multiply
    19,321.50x = 28,982.26 × 5,470.50
  4. Step 4: Simplify right side
    19,321.50x = 158,547,453.33
  5. Step 5: Solve for x
    x = 158,547,453.33/19,321.50
  6. Step 6: Final answer
    x = 8,205.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.