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Finding the Fourth Proportional to 13,422.62, 18,523.51 and 7,454.20

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Solution

The fourth proportional to 13,422.62, 18,523.51 and 7,454.20 is: 10,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.62 : 18,523.51 = 7,454.20 : x
  2. Step 2: Convert to fraction form
    13,422.62/18,523.51 = 7,454.20/x
  3. Step 3: Cross multiply
    13,422.62x = 18,523.51 × 7,454.20
  4. Step 4: Simplify right side
    13,422.62x = 138,077,948.24
  5. Step 5: Solve for x
    x = 138,077,948.24/13,422.62
  6. Step 6: Final answer
    x = 10,286.96

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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.