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Finding the Fourth Proportional to 13,422.78, 18,522.82 and 7,454.84

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Solution

The fourth proportional to 13,422.78, 18,522.82 and 7,454.84 is: 10,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.78 : 18,522.82 = 7,454.84 : x
  2. Step 2: Convert to fraction form
    13,422.78/18,522.82 = 7,454.84/x
  3. Step 3: Cross multiply
    13,422.78x = 18,522.82 × 7,454.84
  4. Step 4: Simplify right side
    13,422.78x = 138,084,659.45
  5. Step 5: Solve for x
    x = 138,084,659.45/13,422.78
  6. Step 6: Final answer
    x = 10,287.34

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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.