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Finding the Fourth Proportional to 23,103.81, 31,883.07 and 13,032.33

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Solution

The fourth proportional to 23,103.81, 31,883.07 and 13,032.33 is: 17,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.81 : 31,883.07 = 13,032.33 : x
  2. Step 2: Convert to fraction form
    23,103.81/31,883.07 = 13,032.33/x
  3. Step 3: Cross multiply
    23,103.81x = 31,883.07 × 13,032.33
  4. Step 4: Simplify right side
    23,103.81x = 415,510,689.65
  5. Step 5: Solve for x
    x = 415,510,689.65/23,103.81
  6. Step 6: Final answer
    x = 17,984.51

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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.