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Finding the Fourth Proportional to 14,044.96, 19,382.16 and 7,757.44

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Solution

The fourth proportional to 14,044.96, 19,382.16 and 7,757.44 is: 10,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.96 : 19,382.16 = 7,757.44 : x
  2. Step 2: Convert to fraction form
    14,044.96/19,382.16 = 7,757.44/x
  3. Step 3: Cross multiply
    14,044.96x = 19,382.16 × 7,757.44
  4. Step 4: Simplify right side
    14,044.96x = 150,355,943.27
  5. Step 5: Solve for x
    x = 150,355,943.27/14,044.96
  6. Step 6: Final answer
    x = 10,705.33

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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.