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Finding the Fourth Proportional to 13,402.25, 18,494.08 and 7,351.50

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Solution

The fourth proportional to 13,402.25, 18,494.08 and 7,351.50 is: 10,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.25 : 18,494.08 = 7,351.50 : x
  2. Step 2: Convert to fraction form
    13,402.25/18,494.08 = 7,351.50/x
  3. Step 3: Cross multiply
    13,402.25x = 18,494.08 × 7,351.50
  4. Step 4: Simplify right side
    13,402.25x = 135,959,229.12
  5. Step 5: Solve for x
    x = 135,959,229.12/13,402.25
  6. Step 6: Final answer
    x = 10,144.51

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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.