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Finding the Fourth Proportional to 14,509.26, 21,767.76 and 6,189.84

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Solution

The fourth proportional to 14,509.26, 21,767.76 and 6,189.84 is: 9,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.26 : 21,767.76 = 6,189.84 : x
  2. Step 2: Convert to fraction form
    14,509.26/21,767.76 = 6,189.84/x
  3. Step 3: Cross multiply
    14,509.26x = 21,767.76 × 6,189.84
  4. Step 4: Simplify right side
    14,509.26x = 134,738,951.56
  5. Step 5: Solve for x
    x = 134,738,951.56/14,509.26
  6. Step 6: Final answer
    x = 9,286.41

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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.