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Finding the Fourth Proportional to 23,650.62, 35,476 and 9,608.06

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Solution

The fourth proportional to 23,650.62, 35,476 and 9,608.06 is: 14,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,650.62 : 35,476 = 9,608.06 : x
  2. Step 2: Convert to fraction form
    23,650.62/35,476 = 9,608.06/x
  3. Step 3: Cross multiply
    23,650.62x = 35,476 × 9,608.06
  4. Step 4: Simplify right side
    23,650.62x = 340,855,536.56
  5. Step 5: Solve for x
    x = 340,855,536.56/23,650.62
  6. Step 6: Final answer
    x = 14,412.12

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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.