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Finding the Fourth Proportional to 20,210.99, 30,309.10 and 7,724.84

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Solution

The fourth proportional to 20,210.99, 30,309.10 and 7,724.84 is: 11,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.99 : 30,309.10 = 7,724.84 : x
  2. Step 2: Convert to fraction form
    20,210.99/30,309.10 = 7,724.84/x
  3. Step 3: Cross multiply
    20,210.99x = 30,309.10 × 7,724.84
  4. Step 4: Simplify right side
    20,210.99x = 234,133,004.50
  5. Step 5: Solve for x
    x = 234,133,004.50/20,210.99
  6. Step 6: Final answer
    x = 11,584.44

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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.