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Finding the Fourth Proportional to 13,922.50, 20,883.34 and 5,157.22

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Solution

The fourth proportional to 13,922.50, 20,883.34 and 5,157.22 is: 7,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.50 : 20,883.34 = 5,157.22 : x
  2. Step 2: Convert to fraction form
    13,922.50/20,883.34 = 5,157.22/x
  3. Step 3: Cross multiply
    13,922.50x = 20,883.34 × 5,157.22
  4. Step 4: Simplify right side
    13,922.50x = 107,699,978.71
  5. Step 5: Solve for x
    x = 107,699,978.71/13,922.50
  6. Step 6: Final answer
    x = 7,735.68

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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.