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Finding the Fourth Proportional to 21,853.50, 30,157.83 and 11,917.50

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Solution

The fourth proportional to 21,853.50, 30,157.83 and 11,917.50 is: 16,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.50 : 30,157.83 = 11,917.50 : x
  2. Step 2: Convert to fraction form
    21,853.50/30,157.83 = 11,917.50/x
  3. Step 3: Cross multiply
    21,853.50x = 30,157.83 × 11,917.50
  4. Step 4: Simplify right side
    21,853.50x = 359,405,939.03
  5. Step 5: Solve for x
    x = 359,405,939.03/21,853.50
  6. Step 6: Final answer
    x = 16,446.15

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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.