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Finding the Fourth Proportional to 20,563.88, 30,846.90 and 6,525.00

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Solution

The fourth proportional to 20,563.88, 30,846.90 and 6,525.00 is: 9,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.88 : 30,846.90 = 6,525.00 : x
  2. Step 2: Convert to fraction form
    20,563.88/30,846.90 = 6,525.00/x
  3. Step 3: Cross multiply
    20,563.88x = 30,846.90 × 6,525.00
  4. Step 4: Simplify right side
    20,563.88x = 201,275,929.97
  5. Step 5: Solve for x
    x = 201,275,929.97/20,563.88
  6. Step 6: Final answer
    x = 9,787.84

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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.