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Finding the Fourth Proportional to 13,627.43, 18,805.37 and 7,659.43

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Solution

The fourth proportional to 13,627.43, 18,805.37 and 7,659.43 is: 10,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.43 : 18,805.37 = 7,659.43 : x
  2. Step 2: Convert to fraction form
    13,627.43/18,805.37 = 7,659.43/x
  3. Step 3: Cross multiply
    13,627.43x = 18,805.37 × 7,659.43
  4. Step 4: Simplify right side
    13,627.43x = 144,038,329.83
  5. Step 5: Solve for x
    x = 144,038,329.83/13,627.43
  6. Step 6: Final answer
    x = 10,569.73

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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.