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Finding the Fourth Proportional to 13,283.91, 18,327.66 and 7,540.41

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Solution

The fourth proportional to 13,283.91, 18,327.66 and 7,540.41 is: 10,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.91 : 18,327.66 = 7,540.41 : x
  2. Step 2: Convert to fraction form
    13,283.91/18,327.66 = 7,540.41/x
  3. Step 3: Cross multiply
    13,283.91x = 18,327.66 × 7,540.41
  4. Step 4: Simplify right side
    13,283.91x = 138,198,070.74
  5. Step 5: Solve for x
    x = 138,198,070.74/13,283.91
  6. Step 6: Final answer
    x = 10,403.42

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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.