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Finding the Fourth Proportional to 20,383.20, 29,289.60 and 20,383.20

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Solution

The fourth proportional to 20,383.20, 29,289.60 and 20,383.20 is: 29,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.20 : 29,289.60 = 20,383.20 : x
  2. Step 2: Convert to fraction form
    20,383.20/29,289.60 = 20,383.20/x
  3. Step 3: Cross multiply
    20,383.20x = 29,289.60 × 20,383.20
  4. Step 4: Simplify right side
    20,383.20x = 597,015,774.72
  5. Step 5: Solve for x
    x = 597,015,774.72/20,383.20
  6. Step 6: Final answer
    x = 29,289.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.