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Finding the Fourth Proportional to 20,549.25, 30,828.74 and 6,698.25

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Solution

The fourth proportional to 20,549.25, 30,828.74 and 6,698.25 is: 10,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.25 : 30,828.74 = 6,698.25 : x
  2. Step 2: Convert to fraction form
    20,549.25/30,828.74 = 6,698.25/x
  3. Step 3: Cross multiply
    20,549.25x = 30,828.74 × 6,698.25
  4. Step 4: Simplify right side
    20,549.25x = 206,498,574.21
  5. Step 5: Solve for x
    x = 206,498,574.21/20,549.25
  6. Step 6: Final answer
    x = 10,048.96

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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.