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Finding the Fourth Proportional to 20,466, 30,704.04 and 6,615

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Solution

The fourth proportional to 20,466, 30,704.04 and 6,615 is: 9,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466 : 30,704.04 = 6,615 : x
  2. Step 2: Convert to fraction form
    20,466/30,704.04 = 6,615/x
  3. Step 3: Cross multiply
    20,466x = 30,704.04 × 6,615
  4. Step 4: Simplify right side
    20,466x = 203,107,224.60
  5. Step 5: Solve for x
    x = 203,107,224.60/20,466
  6. Step 6: Final answer
    x = 9,924.13

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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.