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Finding the Fourth Proportional to 13,382.25, 20,074.52 and 4,021.62

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Solution

The fourth proportional to 13,382.25, 20,074.52 and 4,021.62 is: 6,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.25 : 20,074.52 = 4,021.62 : x
  2. Step 2: Convert to fraction form
    13,382.25/20,074.52 = 4,021.62/x
  3. Step 3: Cross multiply
    13,382.25x = 20,074.52 × 4,021.62
  4. Step 4: Simplify right side
    13,382.25x = 80,732,091.12
  5. Step 5: Solve for x
    x = 80,732,091.12/13,382.25
  6. Step 6: Final answer
    x = 6,032.77

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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.