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Finding the Fourth Proportional to 20,289.30, 30,419.55 and 9,201.30

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Solution

The fourth proportional to 20,289.30, 30,419.55 and 9,201.30 is: 13,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.30 : 30,419.55 = 9,201.30 : x
  2. Step 2: Convert to fraction form
    20,289.30/30,419.55 = 9,201.30/x
  3. Step 3: Cross multiply
    20,289.30x = 30,419.55 × 9,201.30
  4. Step 4: Simplify right side
    20,289.30x = 279,899,405.42
  5. Step 5: Solve for x
    x = 279,899,405.42/20,289.30
  6. Step 6: Final answer
    x = 13,795.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.