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Finding the Fourth Proportional to 20,158.56, 30,237.72 and 7,846.56

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Solution

The fourth proportional to 20,158.56, 30,237.72 and 7,846.56 is: 11,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.56 : 30,237.72 = 7,846.56 : x
  2. Step 2: Convert to fraction form
    20,158.56/30,237.72 = 7,846.56/x
  3. Step 3: Cross multiply
    20,158.56x = 30,237.72 × 7,846.56
  4. Step 4: Simplify right side
    20,158.56x = 237,262,084.24
  5. Step 5: Solve for x
    x = 237,262,084.24/20,158.56
  6. Step 6: Final answer
    x = 11,769.79

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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.