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Finding the Fourth Proportional to 19,711.50, 27,202.98 and 11,328.54

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Solution

The fourth proportional to 19,711.50, 27,202.98 and 11,328.54 is: 15,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.50 : 27,202.98 = 11,328.54 : x
  2. Step 2: Convert to fraction form
    19,711.50/27,202.98 = 11,328.54/x
  3. Step 3: Cross multiply
    19,711.50x = 27,202.98 × 11,328.54
  4. Step 4: Simplify right side
    19,711.50x = 308,170,047.05
  5. Step 5: Solve for x
    x = 308,170,047.05/19,711.50
  6. Step 6: Final answer
    x = 15,634.02

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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.