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Finding the Fourth Proportional to 15,725.84, 23,591.37 and 7,828.77

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Solution

The fourth proportional to 15,725.84, 23,591.37 and 7,828.77 is: 11,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.84 : 23,591.37 = 7,828.77 : x
  2. Step 2: Convert to fraction form
    15,725.84/23,591.37 = 7,828.77/x
  3. Step 3: Cross multiply
    15,725.84x = 23,591.37 × 7,828.77
  4. Step 4: Simplify right side
    15,725.84x = 184,691,409.71
  5. Step 5: Solve for x
    x = 184,691,409.71/15,725.84
  6. Step 6: Final answer
    x = 11,744.46

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