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Finding the Fourth Proportional to 20,218.40, 30,333.28 and 20,218.40

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Solution

The fourth proportional to 20,218.40, 30,333.28 and 20,218.40 is: 30,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.40 : 30,333.28 = 20,218.40 : x
  2. Step 2: Convert to fraction form
    20,218.40/30,333.28 = 20,218.40/x
  3. Step 3: Cross multiply
    20,218.40x = 30,333.28 × 20,218.40
  4. Step 4: Simplify right side
    20,218.40x = 613,290,388.35
  5. Step 5: Solve for x
    x = 613,290,388.35/20,218.40
  6. Step 6: Final answer
    x = 30,333.28

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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.