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Finding the Fourth Proportional to 20,314.63, 30,474.47 and 7,164.37

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Solution

The fourth proportional to 20,314.63, 30,474.47 and 7,164.37 is: 10,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.63 : 30,474.47 = 7,164.37 : x
  2. Step 2: Convert to fraction form
    20,314.63/30,474.47 = 7,164.37/x
  3. Step 3: Cross multiply
    20,314.63x = 30,474.47 × 7,164.37
  4. Step 4: Simplify right side
    20,314.63x = 218,330,378.63
  5. Step 5: Solve for x
    x = 218,330,378.63/20,314.63
  6. Step 6: Final answer
    x = 10,747.45

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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.