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Finding the Fourth Proportional to 13,651.80, 20,444.82 and 7,790.64

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Solution

The fourth proportional to 13,651.80, 20,444.82 and 7,790.64 is: 11,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.80 : 20,444.82 = 7,790.64 : x
  2. Step 2: Convert to fraction form
    13,651.80/20,444.82 = 7,790.64/x
  3. Step 3: Cross multiply
    13,651.80x = 20,444.82 × 7,790.64
  4. Step 4: Simplify right side
    13,651.80x = 159,278,232.48
  5. Step 5: Solve for x
    x = 159,278,232.48/13,651.80
  6. Step 6: Final answer
    x = 11,667.20

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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.