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Finding the Fourth Proportional to 20,683.66, 31,022.55 and 6,641.87

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Solution

The fourth proportional to 20,683.66, 31,022.55 and 6,641.87 is: 9,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.66 : 31,022.55 = 6,641.87 : x
  2. Step 2: Convert to fraction form
    20,683.66/31,022.55 = 6,641.87/x
  3. Step 3: Cross multiply
    20,683.66x = 31,022.55 × 6,641.87
  4. Step 4: Simplify right side
    20,683.66x = 206,047,744.17
  5. Step 5: Solve for x
    x = 206,047,744.17/20,683.66
  6. Step 6: Final answer
    x = 9,961.86

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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.