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Finding the Fourth Proportional to 20,410.50, 30,608.44 and 7,260.25

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Solution

The fourth proportional to 20,410.50, 30,608.44 and 7,260.25 is: 10,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410.50 : 30,608.44 = 7,260.25 : x
  2. Step 2: Convert to fraction form
    20,410.50/30,608.44 = 7,260.25/x
  3. Step 3: Cross multiply
    20,410.50x = 30,608.44 × 7,260.25
  4. Step 4: Simplify right side
    20,410.50x = 222,224,926.51
  5. Step 5: Solve for x
    x = 222,224,926.51/20,410.50
  6. Step 6: Final answer
    x = 10,887.77

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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.