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Finding the Fourth Proportional to 13,675.49, 20,505.12 and 5,345.85

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Solution

The fourth proportional to 13,675.49, 20,505.12 and 5,345.85 is: 8,015.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.49 : 20,505.12 = 5,345.85 : x
  2. Step 2: Convert to fraction form
    13,675.49/20,505.12 = 5,345.85/x
  3. Step 3: Cross multiply
    13,675.49x = 20,505.12 × 5,345.85
  4. Step 4: Simplify right side
    13,675.49x = 109,617,295.75
  5. Step 5: Solve for x
    x = 109,617,295.75/13,675.49
  6. Step 6: Final answer
    x = 8,015.61

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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.