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Finding the Fourth Proportional to 21,709.56, 32,563.73 and 6,919.37

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Solution

The fourth proportional to 21,709.56, 32,563.73 and 6,919.37 is: 10,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.56 : 32,563.73 = 6,919.37 : x
  2. Step 2: Convert to fraction form
    21,709.56/32,563.73 = 6,919.37/x
  3. Step 3: Cross multiply
    21,709.56x = 32,563.73 × 6,919.37
  4. Step 4: Simplify right side
    21,709.56x = 225,320,473.04
  5. Step 5: Solve for x
    x = 225,320,473.04/21,709.56
  6. Step 6: Final answer
    x = 10,378.86

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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.