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Finding the Fourth Proportional to 13,653.82, 20,493.06 and 11,446.66

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Solution

The fourth proportional to 13,653.82, 20,493.06 and 11,446.66 is: 17,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.82 : 20,493.06 = 11,446.66 : x
  2. Step 2: Convert to fraction form
    13,653.82/20,493.06 = 11,446.66/x
  3. Step 3: Cross multiply
    13,653.82x = 20,493.06 × 11,446.66
  4. Step 4: Simplify right side
    13,653.82x = 234,577,090.18
  5. Step 5: Solve for x
    x = 234,577,090.18/13,653.82
  6. Step 6: Final answer
    x = 17,180.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.