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Finding the Fourth Proportional to 20,683.44, 31,015.82 and 5,888.78

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Solution

The fourth proportional to 20,683.44, 31,015.82 and 5,888.78 is: 8,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.44 : 31,015.82 = 5,888.78 : x
  2. Step 2: Convert to fraction form
    20,683.44/31,015.82 = 5,888.78/x
  3. Step 3: Cross multiply
    20,683.44x = 31,015.82 × 5,888.78
  4. Step 4: Simplify right side
    20,683.44x = 182,645,340.50
  5. Step 5: Solve for x
    x = 182,645,340.50/20,683.44
  6. Step 6: Final answer
    x = 8,830.51

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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.