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Finding the Fourth Proportional to 20,534.23, 30,804.67 and 8,047.49

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Solution

The fourth proportional to 20,534.23, 30,804.67 and 8,047.49 is: 12,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.23 : 30,804.67 = 8,047.49 : x
  2. Step 2: Convert to fraction form
    20,534.23/30,804.67 = 8,047.49/x
  3. Step 3: Cross multiply
    20,534.23x = 30,804.67 × 8,047.49
  4. Step 4: Simplify right side
    20,534.23x = 247,900,129.81
  5. Step 5: Solve for x
    x = 247,900,129.81/20,534.23
  6. Step 6: Final answer
    x = 12,072.53

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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.