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Finding the Fourth Proportional to 13,283.98, 18,327.76 and 7,540.49

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Solution

The fourth proportional to 13,283.98, 18,327.76 and 7,540.49 is: 10,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.98 : 18,327.76 = 7,540.49 : x
  2. Step 2: Convert to fraction form
    13,283.98/18,327.76 = 7,540.49/x
  3. Step 3: Cross multiply
    13,283.98x = 18,327.76 × 7,540.49
  4. Step 4: Simplify right side
    13,283.98x = 138,200,317.97
  5. Step 5: Solve for x
    x = 138,200,317.97/13,283.98
  6. Step 6: Final answer
    x = 10,403.53

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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.