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Finding the Fourth Proportional to 20,225.33, 30,351.66 and 7,077.81

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Solution

The fourth proportional to 20,225.33, 30,351.66 and 7,077.81 is: 10,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.33 : 30,351.66 = 7,077.81 : x
  2. Step 2: Convert to fraction form
    20,225.33/30,351.66 = 7,077.81/x
  3. Step 3: Cross multiply
    20,225.33x = 30,351.66 × 7,077.81
  4. Step 4: Simplify right side
    20,225.33x = 214,823,409.75
  5. Step 5: Solve for x
    x = 214,823,409.75/20,225.33
  6. Step 6: Final answer
    x = 10,621.50

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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.