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Finding the Fourth Proportional to 14,016.40, 19,343.76 and 7,729.84

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Solution

The fourth proportional to 14,016.40, 19,343.76 and 7,729.84 is: 10,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.40 : 19,343.76 = 7,729.84 : x
  2. Step 2: Convert to fraction form
    14,016.40/19,343.76 = 7,729.84/x
  3. Step 3: Cross multiply
    14,016.40x = 19,343.76 × 7,729.84
  4. Step 4: Simplify right side
    14,016.40x = 149,524,169.80
  5. Step 5: Solve for x
    x = 149,524,169.80/14,016.40
  6. Step 6: Final answer
    x = 10,667.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.