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Finding the Fourth Proportional to 13,546.74, 18,695.88 and 8,241.96

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Solution

The fourth proportional to 13,546.74, 18,695.88 and 8,241.96 is: 11,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.74 : 18,695.88 = 8,241.96 : x
  2. Step 2: Convert to fraction form
    13,546.74/18,695.88 = 8,241.96/x
  3. Step 3: Cross multiply
    13,546.74x = 18,695.88 × 8,241.96
  4. Step 4: Simplify right side
    13,546.74x = 154,090,695.12
  5. Step 5: Solve for x
    x = 154,090,695.12/13,546.74
  6. Step 6: Final answer
    x = 11,374.74

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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.