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Finding the Fourth Proportional to 20,683.74, 31,007.06 and 8,195.34

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Solution

The fourth proportional to 20,683.74, 31,007.06 and 8,195.34 is: 12,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.74 : 31,007.06 = 8,195.34 : x
  2. Step 2: Convert to fraction form
    20,683.74/31,007.06 = 8,195.34/x
  3. Step 3: Cross multiply
    20,683.74x = 31,007.06 × 8,195.34
  4. Step 4: Simplify right side
    20,683.74x = 254,113,399.10
  5. Step 5: Solve for x
    x = 254,113,399.10/20,683.74
  6. Step 6: Final answer
    x = 12,285.66

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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.