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Finding the Fourth Proportional to 22,855.79, 31,540.86 and 12,785.33

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Solution

The fourth proportional to 22,855.79, 31,540.86 and 12,785.33 is: 17,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.79 : 31,540.86 = 12,785.33 : x
  2. Step 2: Convert to fraction form
    22,855.79/31,540.86 = 12,785.33/x
  3. Step 3: Cross multiply
    22,855.79x = 31,540.86 × 12,785.33
  4. Step 4: Simplify right side
    22,855.79x = 403,260,382.44
  5. Step 5: Solve for x
    x = 403,260,382.44/22,855.79
  6. Step 6: Final answer
    x = 17,643.68

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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.