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Finding the Fourth Proportional to 20,457.44, 30,661 and 10,591.08

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Solution

The fourth proportional to 20,457.44, 30,661 and 10,591.08 is: 15,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.44 : 30,661 = 10,591.08 : x
  2. Step 2: Convert to fraction form
    20,457.44/30,661 = 10,591.08/x
  3. Step 3: Cross multiply
    20,457.44x = 30,661 × 10,591.08
  4. Step 4: Simplify right side
    20,457.44x = 324,733,103.88
  5. Step 5: Solve for x
    x = 324,733,103.88/20,457.44
  6. Step 6: Final answer
    x = 15,873.59

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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.