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Finding the Fourth Proportional to 12,638.36, 18,944.19 and 4,735.71

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Solution

The fourth proportional to 12,638.36, 18,944.19 and 4,735.71 is: 7,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.36 : 18,944.19 = 4,735.71 : x
  2. Step 2: Convert to fraction form
    12,638.36/18,944.19 = 4,735.71/x
  3. Step 3: Cross multiply
    12,638.36x = 18,944.19 × 4,735.71
  4. Step 4: Simplify right side
    12,638.36x = 89,714,190.02
  5. Step 5: Solve for x
    x = 89,714,190.02/12,638.36
  6. Step 6: Final answer
    x = 7,098.57

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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.