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Finding the Fourth Proportional to 20,649.81, 30,974.21 and 5,858.75

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Solution

The fourth proportional to 20,649.81, 30,974.21 and 5,858.75 is: 8,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.81 : 30,974.21 = 5,858.75 : x
  2. Step 2: Convert to fraction form
    20,649.81/30,974.21 = 5,858.75/x
  3. Step 3: Cross multiply
    20,649.81x = 30,974.21 × 5,858.75
  4. Step 4: Simplify right side
    20,649.81x = 181,470,152.84
  5. Step 5: Solve for x
    x = 181,470,152.84/20,649.81
  6. Step 6: Final answer
    x = 8,787.98

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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.