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Finding the Fourth Proportional to 13,731.60, 18,949.42 and 7,443.84

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Solution

The fourth proportional to 13,731.60, 18,949.42 and 7,443.84 is: 10,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.60 : 18,949.42 = 7,443.84 : x
  2. Step 2: Convert to fraction form
    13,731.60/18,949.42 = 7,443.84/x
  3. Step 3: Cross multiply
    13,731.60x = 18,949.42 × 7,443.84
  4. Step 4: Simplify right side
    13,731.60x = 141,056,450.57
  5. Step 5: Solve for x
    x = 141,056,450.57/13,731.60
  6. Step 6: Final answer
    x = 10,272.40

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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.