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Finding the Fourth Proportional to 20,561.65, 30,843.69 and 6,521.41

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Solution

The fourth proportional to 20,561.65, 30,843.69 and 6,521.41 is: 9,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.65 : 30,843.69 = 6,521.41 : x
  2. Step 2: Convert to fraction form
    20,561.65/30,843.69 = 6,521.41/x
  3. Step 3: Cross multiply
    20,561.65x = 30,843.69 × 6,521.41
  4. Step 4: Simplify right side
    20,561.65x = 201,144,362.50
  5. Step 5: Solve for x
    x = 201,144,362.50/20,561.65
  6. Step 6: Final answer
    x = 9,782.50

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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.