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Finding the Fourth Proportional to 13,790.32, 20,667 and 6,759.56

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Solution

The fourth proportional to 13,790.32, 20,667 and 6,759.56 is: 10,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.32 : 20,667 = 6,759.56 : x
  2. Step 2: Convert to fraction form
    13,790.32/20,667 = 6,759.56/x
  3. Step 3: Cross multiply
    13,790.32x = 20,667 × 6,759.56
  4. Step 4: Simplify right side
    13,790.32x = 139,699,826.52
  5. Step 5: Solve for x
    x = 139,699,826.52/13,790.32
  6. Step 6: Final answer
    x = 10,130.28

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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.