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Finding the Fourth Proportional to 21,832.57, 30,120.20 and 13,763.57

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Solution

The fourth proportional to 21,832.57, 30,120.20 and 13,763.57 is: 18,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.57 : 30,120.20 = 13,763.57 : x
  2. Step 2: Convert to fraction form
    21,832.57/30,120.20 = 13,763.57/x
  3. Step 3: Cross multiply
    21,832.57x = 30,120.20 × 13,763.57
  4. Step 4: Simplify right side
    21,832.57x = 414,561,391.85
  5. Step 5: Solve for x
    x = 414,561,391.85/21,832.57
  6. Step 6: Final answer
    x = 18,988.21

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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.