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Finding the Fourth Proportional to 14,047.96, 21,072.12 and 3,659.80

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Solution

The fourth proportional to 14,047.96, 21,072.12 and 3,659.80 is: 5,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.96 : 21,072.12 = 3,659.80 : x
  2. Step 2: Convert to fraction form
    14,047.96/21,072.12 = 3,659.80/x
  3. Step 3: Cross multiply
    14,047.96x = 21,072.12 × 3,659.80
  4. Step 4: Simplify right side
    14,047.96x = 77,119,744.78
  5. Step 5: Solve for x
    x = 77,119,744.78/14,047.96
  6. Step 6: Final answer
    x = 5,489.75

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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.