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Finding the Fourth Proportional to 23,548.44, 32,498.40 and 12,938.16

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Solution

The fourth proportional to 23,548.44, 32,498.40 and 12,938.16 is: 17,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548.44 : 32,498.40 = 12,938.16 : x
  2. Step 2: Convert to fraction form
    23,548.44/32,498.40 = 12,938.16/x
  3. Step 3: Cross multiply
    23,548.44x = 32,498.40 × 12,938.16
  4. Step 4: Simplify right side
    23,548.44x = 420,469,498.94
  5. Step 5: Solve for x
    x = 420,469,498.94/23,548.44
  6. Step 6: Final answer
    x = 17,855.51

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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.