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Finding the Fourth Proportional to 23,112.44, 31,895.17 and 13,043.03

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Solution

The fourth proportional to 23,112.44, 31,895.17 and 13,043.03 is: 17,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.44 : 31,895.17 = 13,043.03 : x
  2. Step 2: Convert to fraction form
    23,112.44/31,895.17 = 13,043.03/x
  3. Step 3: Cross multiply
    23,112.44x = 31,895.17 × 13,043.03
  4. Step 4: Simplify right side
    23,112.44x = 416,009,467.08
  5. Step 5: Solve for x
    x = 416,009,467.08/23,112.44
  6. Step 6: Final answer
    x = 17,999.38

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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.