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Finding the Fourth Proportional to 14,243.85, 21,324.25 and 8,302.56

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Solution

The fourth proportional to 14,243.85, 21,324.25 and 8,302.56 is: 12,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.85 : 21,324.25 = 8,302.56 : x
  2. Step 2: Convert to fraction form
    14,243.85/21,324.25 = 8,302.56/x
  3. Step 3: Cross multiply
    14,243.85x = 21,324.25 × 8,302.56
  4. Step 4: Simplify right side
    14,243.85x = 177,045,865.08
  5. Step 5: Solve for x
    x = 177,045,865.08/14,243.85
  6. Step 6: Final answer
    x = 12,429.64

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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.