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Finding the Fourth Proportional to 13,422.29, 18,522.14 and 7,454.33

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Solution

The fourth proportional to 13,422.29, 18,522.14 and 7,454.33 is: 10,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.29 : 18,522.14 = 7,454.33 : x
  2. Step 2: Convert to fraction form
    13,422.29/18,522.14 = 7,454.33/x
  3. Step 3: Cross multiply
    13,422.29x = 18,522.14 × 7,454.33
  4. Step 4: Simplify right side
    13,422.29x = 138,070,013.98
  5. Step 5: Solve for x
    x = 138,070,013.98/13,422.29
  6. Step 6: Final answer
    x = 10,286.63

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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.