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Finding the Fourth Proportional to 13,423.78, 18,523.11 and 7,454.35

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Solution

The fourth proportional to 13,423.78, 18,523.11 and 7,454.35 is: 10,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.78 : 18,523.11 = 7,454.35 : x
  2. Step 2: Convert to fraction form
    13,423.78/18,523.11 = 7,454.35/x
  3. Step 3: Cross multiply
    13,423.78x = 18,523.11 × 7,454.35
  4. Step 4: Simplify right side
    13,423.78x = 138,077,745.03
  5. Step 5: Solve for x
    x = 138,077,745.03/13,423.78
  6. Step 6: Final answer
    x = 10,286.06

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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.