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Finding the Fourth Proportional to 18,493.96, 27,736.80 and 5,343.40

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Solution

The fourth proportional to 18,493.96, 27,736.80 and 5,343.40 is: 8,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.96 : 27,736.80 = 5,343.40 : x
  2. Step 2: Convert to fraction form
    18,493.96/27,736.80 = 5,343.40/x
  3. Step 3: Cross multiply
    18,493.96x = 27,736.80 × 5,343.40
  4. Step 4: Simplify right side
    18,493.96x = 148,208,817.12
  5. Step 5: Solve for x
    x = 148,208,817.12/18,493.96
  6. Step 6: Final answer
    x = 8,013.90

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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.