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Finding the Fourth Proportional to 13,508.40, 18,642.27 and 7,540.12

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Solution

The fourth proportional to 13,508.40, 18,642.27 and 7,540.12 is: 10,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.40 : 18,642.27 = 7,540.12 : x
  2. Step 2: Convert to fraction form
    13,508.40/18,642.27 = 7,540.12/x
  3. Step 3: Cross multiply
    13,508.40x = 18,642.27 × 7,540.12
  4. Step 4: Simplify right side
    13,508.40x = 140,564,934.54
  5. Step 5: Solve for x
    x = 140,564,934.54/13,508.40
  6. Step 6: Final answer
    x = 10,405.74

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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.