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Finding the Fourth Proportional to 23,080.72, 34,626.20 and 10,762

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Solution

The fourth proportional to 23,080.72, 34,626.20 and 10,762 is: 16,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.72 : 34,626.20 = 10,762 : x
  2. Step 2: Convert to fraction form
    23,080.72/34,626.20 = 10,762/x
  3. Step 3: Cross multiply
    23,080.72x = 34,626.20 × 10,762
  4. Step 4: Simplify right side
    23,080.72x = 372,647,164.40
  5. Step 5: Solve for x
    x = 372,647,164.40/23,080.72
  6. Step 6: Final answer
    x = 16,145.39

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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.