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Finding the Fourth Proportional to 20,141.67, 30,212.52 and 6,291.75

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Solution

The fourth proportional to 20,141.67, 30,212.52 and 6,291.75 is: 9,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.67 : 30,212.52 = 6,291.75 : x
  2. Step 2: Convert to fraction form
    20,141.67/30,212.52 = 6,291.75/x
  3. Step 3: Cross multiply
    20,141.67x = 30,212.52 × 6,291.75
  4. Step 4: Simplify right side
    20,141.67x = 190,089,622.71
  5. Step 5: Solve for x
    x = 190,089,622.71/20,141.67
  6. Step 6: Final answer
    x = 9,437.63

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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.