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Finding the Fourth Proportional to 20,730.66, 31,096.02 and 5,940.48

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Solution

The fourth proportional to 20,730.66, 31,096.02 and 5,940.48 is: 8,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.66 : 31,096.02 = 5,940.48 : x
  2. Step 2: Convert to fraction form
    20,730.66/31,096.02 = 5,940.48/x
  3. Step 3: Cross multiply
    20,730.66x = 31,096.02 × 5,940.48
  4. Step 4: Simplify right side
    20,730.66x = 184,725,284.89
  5. Step 5: Solve for x
    x = 184,725,284.89/20,730.66
  6. Step 6: Final answer
    x = 8,910.73

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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.