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Finding the Fourth Proportional to 13,768.14, 20,653.57 and 4,405.80

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Solution

The fourth proportional to 13,768.14, 20,653.57 and 4,405.80 is: 6,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.14 : 20,653.57 = 4,405.80 : x
  2. Step 2: Convert to fraction form
    13,768.14/20,653.57 = 4,405.80/x
  3. Step 3: Cross multiply
    13,768.14x = 20,653.57 × 4,405.80
  4. Step 4: Simplify right side
    13,768.14x = 90,995,581.66
  5. Step 5: Solve for x
    x = 90,995,581.66/13,768.14
  6. Step 6: Final answer
    x = 6,609.14

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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.