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Finding the Fourth Proportional to 28,205.56, 42,309.12 and 8,214.26

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Solution

The fourth proportional to 28,205.56, 42,309.12 and 8,214.26 is: 12,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.56 : 42,309.12 = 8,214.26 : x
  2. Step 2: Convert to fraction form
    28,205.56/42,309.12 = 8,214.26/x
  3. Step 3: Cross multiply
    28,205.56x = 42,309.12 × 8,214.26
  4. Step 4: Simplify right side
    28,205.56x = 347,538,112.05
  5. Step 5: Solve for x
    x = 347,538,112.05/28,205.56
  6. Step 6: Final answer
    x = 12,321.62

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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.