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Finding the Fourth Proportional to 14,146.85, 21,229.49 and 5,381.84

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Solution

The fourth proportional to 14,146.85, 21,229.49 and 5,381.84 is: 8,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.85 : 21,229.49 = 5,381.84 : x
  2. Step 2: Convert to fraction form
    14,146.85/21,229.49 = 5,381.84/x
  3. Step 3: Cross multiply
    14,146.85x = 21,229.49 × 5,381.84
  4. Step 4: Simplify right side
    14,146.85x = 114,253,784.99
  5. Step 5: Solve for x
    x = 114,253,784.99/14,146.85
  6. Step 6: Final answer
    x = 8,076.27

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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.