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Finding the Fourth Proportional to 19,879.89, 29,816.16 and 8,033.01

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Solution

The fourth proportional to 19,879.89, 29,816.16 and 8,033.01 is: 12,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.89 : 29,816.16 = 8,033.01 : x
  2. Step 2: Convert to fraction form
    19,879.89/29,816.16 = 8,033.01/x
  3. Step 3: Cross multiply
    19,879.89x = 29,816.16 × 8,033.01
  4. Step 4: Simplify right side
    19,879.89x = 239,513,511.44
  5. Step 5: Solve for x
    x = 239,513,511.44/19,879.89
  6. Step 6: Final answer
    x = 12,048.03

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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.