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Finding the Fourth Proportional to 23,052.56, 31,811.68 and 12,843.35

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Solution

The fourth proportional to 23,052.56, 31,811.68 and 12,843.35 is: 17,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.56 : 31,811.68 = 12,843.35 : x
  2. Step 2: Convert to fraction form
    23,052.56/31,811.68 = 12,843.35/x
  3. Step 3: Cross multiply
    23,052.56x = 31,811.68 × 12,843.35
  4. Step 4: Simplify right side
    23,052.56x = 408,568,476.11
  5. Step 5: Solve for x
    x = 408,568,476.11/23,052.56
  6. Step 6: Final answer
    x = 17,723.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.