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Finding the Fourth Proportional to 13,364.25, 20,042.72 and 7,433.83

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Solution

The fourth proportional to 13,364.25, 20,042.72 and 7,433.83 is: 11,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.25 : 20,042.72 = 7,433.83 : x
  2. Step 2: Convert to fraction form
    13,364.25/20,042.72 = 7,433.83/x
  3. Step 3: Cross multiply
    13,364.25x = 20,042.72 × 7,433.83
  4. Step 4: Simplify right side
    13,364.25x = 148,994,173.22
  5. Step 5: Solve for x
    x = 148,994,173.22/13,364.25
  6. Step 6: Final answer
    x = 11,148.71

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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.