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Finding the Fourth Proportional to 14,022.18, 19,349.46 and 7,734.54

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Solution

The fourth proportional to 14,022.18, 19,349.46 and 7,734.54 is: 10,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.18 : 19,349.46 = 7,734.54 : x
  2. Step 2: Convert to fraction form
    14,022.18/19,349.46 = 7,734.54/x
  3. Step 3: Cross multiply
    14,022.18x = 19,349.46 × 7,734.54
  4. Step 4: Simplify right side
    14,022.18x = 149,659,172.35
  5. Step 5: Solve for x
    x = 149,659,172.35/14,022.18
  6. Step 6: Final answer
    x = 10,673.03

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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.