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Finding the Fourth Proportional to 23,540.63, 32,474.00 and 15,033.80

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Solution

The fourth proportional to 23,540.63, 32,474.00 and 15,033.80 is: 20,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.63 : 32,474.00 = 15,033.80 : x
  2. Step 2: Convert to fraction form
    23,540.63/32,474.00 = 15,033.80/x
  3. Step 3: Cross multiply
    23,540.63x = 32,474.00 × 15,033.80
  4. Step 4: Simplify right side
    23,540.63x = 488,207,383.66
  5. Step 5: Solve for x
    x = 488,207,383.66/23,540.63
  6. Step 6: Final answer
    x = 20,738.93

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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.