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Finding the Fourth Proportional to 14,078.36, 19,428.54 and 7,791.32

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Solution

The fourth proportional to 14,078.36, 19,428.54 and 7,791.32 is: 10,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.36 : 19,428.54 = 7,791.32 : x
  2. Step 2: Convert to fraction form
    14,078.36/19,428.54 = 7,791.32/x
  3. Step 3: Cross multiply
    14,078.36x = 19,428.54 × 7,791.32
  4. Step 4: Simplify right side
    14,078.36x = 151,373,972.27
  5. Step 5: Solve for x
    x = 151,373,972.27/14,078.36
  6. Step 6: Final answer
    x = 10,752.24

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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.