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Finding the Fourth Proportional to 13,508.76, 18,642.11 and 7,540.43

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Solution

The fourth proportional to 13,508.76, 18,642.11 and 7,540.43 is: 10,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.76 : 18,642.11 = 7,540.43 : x
  2. Step 2: Convert to fraction form
    13,508.76/18,642.11 = 7,540.43/x
  3. Step 3: Cross multiply
    13,508.76x = 18,642.11 × 7,540.43
  4. Step 4: Simplify right side
    13,508.76x = 140,569,394.59
  5. Step 5: Solve for x
    x = 140,569,394.59/13,508.76
  6. Step 6: Final answer
    x = 10,405.80

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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.