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Finding the Fourth Proportional to 23,104.92, 31,883.55 and 13,033.38

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Solution

The fourth proportional to 23,104.92, 31,883.55 and 13,033.38 is: 17,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.92 : 31,883.55 = 13,033.38 : x
  2. Step 2: Convert to fraction form
    23,104.92/31,883.55 = 13,033.38/x
  3. Step 3: Cross multiply
    23,104.92x = 31,883.55 × 13,033.38
  4. Step 4: Simplify right side
    23,104.92x = 415,550,422.90
  5. Step 5: Solve for x
    x = 415,550,422.90/23,104.92
  6. Step 6: Final answer
    x = 17,985.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.