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Finding the Fourth Proportional to 20,238.45, 30,359.88 and 7,769.07

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Solution

The fourth proportional to 20,238.45, 30,359.88 and 7,769.07 is: 11,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.45 : 30,359.88 = 7,769.07 : x
  2. Step 2: Convert to fraction form
    20,238.45/30,359.88 = 7,769.07/x
  3. Step 3: Cross multiply
    20,238.45x = 30,359.88 × 7,769.07
  4. Step 4: Simplify right side
    20,238.45x = 235,868,032.91
  5. Step 5: Solve for x
    x = 235,868,032.91/20,238.45
  6. Step 6: Final answer
    x = 11,654.45

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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.