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Finding the Fourth Proportional to 13,922.76, 20,883.72 and 5,157.48

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Solution

The fourth proportional to 13,922.76, 20,883.72 and 5,157.48 is: 7,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.76 : 20,883.72 = 5,157.48 : x
  2. Step 2: Convert to fraction form
    13,922.76/20,883.72 = 5,157.48/x
  3. Step 3: Cross multiply
    13,922.76x = 20,883.72 × 5,157.48
  4. Step 4: Simplify right side
    13,922.76x = 107,707,368.23
  5. Step 5: Solve for x
    x = 107,707,368.23/13,922.76
  6. Step 6: Final answer
    x = 7,736.06

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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.