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Finding the Fourth Proportional to 13,508.88, 18,642.18 and 7,540.19

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Solution

The fourth proportional to 13,508.88, 18,642.18 and 7,540.19 is: 10,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.88 : 18,642.18 = 7,540.19 : x
  2. Step 2: Convert to fraction form
    13,508.88/18,642.18 = 7,540.19/x
  3. Step 3: Cross multiply
    13,508.88x = 18,642.18 × 7,540.19
  4. Step 4: Simplify right side
    13,508.88x = 140,565,579.21
  5. Step 5: Solve for x
    x = 140,565,579.21/13,508.88
  6. Step 6: Final answer
    x = 10,405.42

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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.