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Finding the Fourth Proportional to 13,922.46, 20,859.36 and 11,597.40

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Solution

The fourth proportional to 13,922.46, 20,859.36 and 11,597.40 is: 17,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.46 : 20,859.36 = 11,597.40 : x
  2. Step 2: Convert to fraction form
    13,922.46/20,859.36 = 11,597.40/x
  3. Step 3: Cross multiply
    13,922.46x = 20,859.36 × 11,597.40
  4. Step 4: Simplify right side
    13,922.46x = 241,914,341.66
  5. Step 5: Solve for x
    x = 241,914,341.66/13,922.46
  6. Step 6: Final answer
    x = 17,375.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.