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Finding the Fourth Proportional to 14,022.84, 19,350.96 and 7,735.14

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Solution

The fourth proportional to 14,022.84, 19,350.96 and 7,735.14 is: 10,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.84 : 19,350.96 = 7,735.14 : x
  2. Step 2: Convert to fraction form
    14,022.84/19,350.96 = 7,735.14/x
  3. Step 3: Cross multiply
    14,022.84x = 19,350.96 × 7,735.14
  4. Step 4: Simplify right side
    14,022.84x = 149,682,384.73
  5. Step 5: Solve for x
    x = 149,682,384.73/14,022.84
  6. Step 6: Final answer
    x = 10,674.18

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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.