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Finding the Fourth Proportional to 23,801.52, 32,846.04 and 13,729.80

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Solution

The fourth proportional to 23,801.52, 32,846.04 and 13,729.80 is: 18,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.52 : 32,846.04 = 13,729.80 : x
  2. Step 2: Convert to fraction form
    23,801.52/32,846.04 = 13,729.80/x
  3. Step 3: Cross multiply
    23,801.52x = 32,846.04 × 13,729.80
  4. Step 4: Simplify right side
    23,801.52x = 450,969,559.99
  5. Step 5: Solve for x
    x = 450,969,559.99/23,801.52
  6. Step 6: Final answer
    x = 18,947.09

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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.