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Finding the Fourth Proportional to 20,285.58, 30,415.34 and 8,447.56

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Solution

The fourth proportional to 20,285.58, 30,415.34 and 8,447.56 is: 12,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.58 : 30,415.34 = 8,447.56 : x
  2. Step 2: Convert to fraction form
    20,285.58/30,415.34 = 8,447.56/x
  3. Step 3: Cross multiply
    20,285.58x = 30,415.34 × 8,447.56
  4. Step 4: Simplify right side
    20,285.58x = 256,935,409.57
  5. Step 5: Solve for x
    x = 256,935,409.57/20,285.58
  6. Step 6: Final answer
    x = 12,665.91

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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.