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Finding the Fourth Proportional to 13,729.57, 18,946.74 and 7,441.94

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Solution

The fourth proportional to 13,729.57, 18,946.74 and 7,441.94 is: 10,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.57 : 18,946.74 = 7,441.94 : x
  2. Step 2: Convert to fraction form
    13,729.57/18,946.74 = 7,441.94/x
  3. Step 3: Cross multiply
    13,729.57x = 18,946.74 × 7,441.94
  4. Step 4: Simplify right side
    13,729.57x = 141,000,577.55
  5. Step 5: Solve for x
    x = 141,000,577.55/13,729.57
  6. Step 6: Final answer
    x = 10,269.85

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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.