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Finding the Fourth Proportional to 23,033.46, 31,785.79 and 12,961.89

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Solution

The fourth proportional to 23,033.46, 31,785.79 and 12,961.89 is: 17,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.46 : 31,785.79 = 12,961.89 : x
  2. Step 2: Convert to fraction form
    23,033.46/31,785.79 = 12,961.89/x
  3. Step 3: Cross multiply
    23,033.46x = 31,785.79 × 12,961.89
  4. Step 4: Simplify right side
    23,033.46x = 412,003,913.54
  5. Step 5: Solve for x
    x = 412,003,913.54/23,033.46
  6. Step 6: Final answer
    x = 17,887.20

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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.