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Finding the Fourth Proportional to 13,675.23, 20,549.90 and 7,439.85

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Solution

The fourth proportional to 13,675.23, 20,549.90 and 7,439.85 is: 11,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.23 : 20,549.90 = 7,439.85 : x
  2. Step 2: Convert to fraction form
    13,675.23/20,549.90 = 7,439.85/x
  3. Step 3: Cross multiply
    13,675.23x = 20,549.90 × 7,439.85
  4. Step 4: Simplify right side
    13,675.23x = 152,888,173.52
  5. Step 5: Solve for x
    x = 152,888,173.52/13,675.23
  6. Step 6: Final answer
    x = 11,179.93

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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.