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Finding the Fourth Proportional to 22,993.36, 31,732.30 and 12,785.54

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Solution

The fourth proportional to 22,993.36, 31,732.30 and 12,785.54 is: 17,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.36 : 31,732.30 = 12,785.54 : x
  2. Step 2: Convert to fraction form
    22,993.36/31,732.30 = 12,785.54/x
  3. Step 3: Cross multiply
    22,993.36x = 31,732.30 × 12,785.54
  4. Step 4: Simplify right side
    22,993.36x = 405,714,519.31
  5. Step 5: Solve for x
    x = 405,714,519.31/22,993.36
  6. Step 6: Final answer
    x = 17,644.85

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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.