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Finding the Fourth Proportional to 23,107.57, 31,888.89 and 13,034.03

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Solution

The fourth proportional to 23,107.57, 31,888.89 and 13,034.03 is: 17,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.57 : 31,888.89 = 13,034.03 : x
  2. Step 2: Convert to fraction form
    23,107.57/31,888.89 = 13,034.03/x
  3. Step 3: Cross multiply
    23,107.57x = 31,888.89 × 13,034.03
  4. Step 4: Simplify right side
    23,107.57x = 415,640,589.48
  5. Step 5: Solve for x
    x = 415,640,589.48/23,107.57
  6. Step 6: Final answer
    x = 17,987.21

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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.