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Finding the Fourth Proportional to 17,846.40, 26,786.16 and 12,853.92

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Solution

The fourth proportional to 17,846.40, 26,786.16 and 12,853.92 is: 19,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.40 : 26,786.16 = 12,853.92 : x
  2. Step 2: Convert to fraction form
    17,846.40/26,786.16 = 12,853.92/x
  3. Step 3: Cross multiply
    17,846.40x = 26,786.16 × 12,853.92
  4. Step 4: Simplify right side
    17,846.40x = 344,307,157.75
  5. Step 5: Solve for x
    x = 344,307,157.75/17,846.40
  6. Step 6: Final answer
    x = 19,292.81

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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.