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Finding the Fourth Proportional to 23,105.31, 31,885.14 and 13,033.83

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Solution

The fourth proportional to 23,105.31, 31,885.14 and 13,033.83 is: 17,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.31 : 31,885.14 = 13,033.83 : x
  2. Step 2: Convert to fraction form
    23,105.31/31,885.14 = 13,033.83/x
  3. Step 3: Cross multiply
    23,105.31x = 31,885.14 × 13,033.83
  4. Step 4: Simplify right side
    23,105.31x = 415,585,494.29
  5. Step 5: Solve for x
    x = 415,585,494.29/23,105.31
  6. Step 6: Final answer
    x = 17,986.58

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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.