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Finding the Fourth Proportional to 13,829.76, 19,079.82 and 7,858.44

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Solution

The fourth proportional to 13,829.76, 19,079.82 and 7,858.44 is: 10,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.76 : 19,079.82 = 7,858.44 : x
  2. Step 2: Convert to fraction form
    13,829.76/19,079.82 = 7,858.44/x
  3. Step 3: Cross multiply
    13,829.76x = 19,079.82 × 7,858.44
  4. Step 4: Simplify right side
    13,829.76x = 149,937,620.68
  5. Step 5: Solve for x
    x = 149,937,620.68/13,829.76
  6. Step 6: Final answer
    x = 10,841.66

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