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Finding the Fourth Proportional to 20,201.84, 30,302.98 and 7,054.26

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Solution

The fourth proportional to 20,201.84, 30,302.98 and 7,054.26 is: 10,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.84 : 30,302.98 = 7,054.26 : x
  2. Step 2: Convert to fraction form
    20,201.84/30,302.98 = 7,054.26/x
  3. Step 3: Cross multiply
    20,201.84x = 30,302.98 × 7,054.26
  4. Step 4: Simplify right side
    20,201.84x = 213,765,099.69
  5. Step 5: Solve for x
    x = 213,765,099.69/20,201.84
  6. Step 6: Final answer
    x = 10,581.47

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1.5x scale

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.