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Finding the Fourth Proportional to 23,005.44, 31,744.80 and 13,573.92

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Solution

The fourth proportional to 23,005.44, 31,744.80 and 13,573.92 is: 18,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.44 : 31,744.80 = 13,573.92 : x
  2. Step 2: Convert to fraction form
    23,005.44/31,744.80 = 13,573.92/x
  3. Step 3: Cross multiply
    23,005.44x = 31,744.80 × 13,573.92
  4. Step 4: Simplify right side
    23,005.44x = 430,901,375.62
  5. Step 5: Solve for x
    x = 430,901,375.62/23,005.44
  6. Step 6: Final answer
    x = 18,730.41

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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.