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Finding the Fourth Proportional to 13,776.75, 20,668.37 and 4,542.75

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Solution

The fourth proportional to 13,776.75, 20,668.37 and 4,542.75 is: 6,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.75 : 20,668.37 = 4,542.75 : x
  2. Step 2: Convert to fraction form
    13,776.75/20,668.37 = 4,542.75/x
  3. Step 3: Cross multiply
    13,776.75x = 20,668.37 × 4,542.75
  4. Step 4: Simplify right side
    13,776.75x = 93,891,215.10
  5. Step 5: Solve for x
    x = 93,891,215.10/13,776.75
  6. Step 6: Final answer
    x = 6,815.19

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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.