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Finding the Fourth Proportional to 13,444.33, 20,166.96 and 3,583.63

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Solution

The fourth proportional to 13,444.33, 20,166.96 and 3,583.63 is: 5,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.33 : 20,166.96 = 3,583.63 : x
  2. Step 2: Convert to fraction form
    13,444.33/20,166.96 = 3,583.63/x
  3. Step 3: Cross multiply
    13,444.33x = 20,166.96 × 3,583.63
  4. Step 4: Simplify right side
    13,444.33x = 72,270,922.86
  5. Step 5: Solve for x
    x = 72,270,922.86/13,444.33
  6. Step 6: Final answer
    x = 5,375.57

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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.