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Finding the Fourth Proportional to 19,705.50, 27,193.59 and 13,428.81

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Solution

The fourth proportional to 19,705.50, 27,193.59 and 13,428.81 is: 18,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.50 : 27,193.59 = 13,428.81 : x
  2. Step 2: Convert to fraction form
    19,705.50/27,193.59 = 13,428.81/x
  3. Step 3: Cross multiply
    19,705.50x = 27,193.59 × 13,428.81
  4. Step 4: Simplify right side
    19,705.50x = 365,177,553.33
  5. Step 5: Solve for x
    x = 365,177,553.33/19,705.50
  6. Step 6: Final answer
    x = 18,531.76

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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.