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Finding the Fourth Proportional to 13,462.18, 18,578.48 and 8,157.49

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Solution

The fourth proportional to 13,462.18, 18,578.48 and 8,157.49 is: 11,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.18 : 18,578.48 = 8,157.49 : x
  2. Step 2: Convert to fraction form
    13,462.18/18,578.48 = 8,157.49/x
  3. Step 3: Cross multiply
    13,462.18x = 18,578.48 × 8,157.49
  4. Step 4: Simplify right side
    13,462.18x = 151,553,677.58
  5. Step 5: Solve for x
    x = 151,553,677.58/13,462.18
  6. Step 6: Final answer
    x = 11,257.74

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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.