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Finding the Fourth Proportional to 23,892.39, 32,972.34 and 13,138.08

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Solution

The fourth proportional to 23,892.39, 32,972.34 and 13,138.08 is: 18,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.39 : 32,972.34 = 13,138.08 : x
  2. Step 2: Convert to fraction form
    23,892.39/32,972.34 = 13,138.08/x
  3. Step 3: Cross multiply
    23,892.39x = 32,972.34 × 13,138.08
  4. Step 4: Simplify right side
    23,892.39x = 433,193,351.80
  5. Step 5: Solve for x
    x = 433,193,351.80/23,892.39
  6. Step 6: Final answer
    x = 18,131.02

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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.