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Finding the Fourth Proportional to 20,419.79, 30,629.57 and 7,948.49

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Solution

The fourth proportional to 20,419.79, 30,629.57 and 7,948.49 is: 11,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.79 : 30,629.57 = 7,948.49 : x
  2. Step 2: Convert to fraction form
    20,419.79/30,629.57 = 7,948.49/x
  3. Step 3: Cross multiply
    20,419.79x = 30,629.57 × 7,948.49
  4. Step 4: Simplify right side
    20,419.79x = 243,458,637.96
  5. Step 5: Solve for x
    x = 243,458,637.96/20,419.79
  6. Step 6: Final answer
    x = 11,922.68

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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.