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Finding the Fourth Proportional to 23,610.50, 35,419.58 and 6,972.20

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Solution

The fourth proportional to 23,610.50, 35,419.58 and 6,972.20 is: 10,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,610.50 : 35,419.58 = 6,972.20 : x
  2. Step 2: Convert to fraction form
    23,610.50/35,419.58 = 6,972.20/x
  3. Step 3: Cross multiply
    23,610.50x = 35,419.58 × 6,972.20
  4. Step 4: Simplify right side
    23,610.50x = 246,952,183.72
  5. Step 5: Solve for x
    x = 246,952,183.72/23,610.50
  6. Step 6: Final answer
    x = 10,459.42

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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.