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Finding the Fourth Proportional to 18,471.18, 25,498.62 and 11,766

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Solution

The fourth proportional to 18,471.18, 25,498.62 and 11,766 is: 16,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.18 : 25,498.62 = 11,766 : x
  2. Step 2: Convert to fraction form
    18,471.18/25,498.62 = 11,766/x
  3. Step 3: Cross multiply
    18,471.18x = 25,498.62 × 11,766
  4. Step 4: Simplify right side
    18,471.18x = 300,016,762.92
  5. Step 5: Solve for x
    x = 300,016,762.92/18,471.18
  6. Step 6: Final answer
    x = 16,242.43

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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.