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Finding the Fourth Proportional to 35,016.56, 52,544.84 and 12,827

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Solution

The fourth proportional to 35,016.56, 52,544.84 and 12,827 is: 19,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,016.56 : 52,544.84 = 12,827 : x
  2. Step 2: Convert to fraction form
    35,016.56/52,544.84 = 12,827/x
  3. Step 3: Cross multiply
    35,016.56x = 52,544.84 × 12,827
  4. Step 4: Simplify right side
    35,016.56x = 673,992,662.68
  5. Step 5: Solve for x
    x = 673,992,662.68/35,016.56
  6. Step 6: Final answer
    x = 19,247.83

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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.