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Finding the Fourth Proportional to 20,725.68, 31,065.44 and 8,242.48

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Solution

The fourth proportional to 20,725.68, 31,065.44 and 8,242.48 is: 12,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,725.68 : 31,065.44 = 8,242.48 : x
  2. Step 2: Convert to fraction form
    20,725.68/31,065.44 = 8,242.48/x
  3. Step 3: Cross multiply
    20,725.68x = 31,065.44 × 8,242.48
  4. Step 4: Simplify right side
    20,725.68x = 256,056,267.89
  5. Step 5: Solve for x
    x = 256,056,267.89/20,725.68
  6. Step 6: Final answer
    x = 12,354.54

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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.