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Finding the Fourth Proportional to 15,738.87, 23,602.34 and 5,205.74

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Solution

The fourth proportional to 15,738.87, 23,602.34 and 5,205.74 is: 7,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.87 : 23,602.34 = 5,205.74 : x
  2. Step 2: Convert to fraction form
    15,738.87/23,602.34 = 5,205.74/x
  3. Step 3: Cross multiply
    15,738.87x = 23,602.34 × 5,205.74
  4. Step 4: Simplify right side
    15,738.87x = 122,867,501.39
  5. Step 5: Solve for x
    x = 122,867,501.39/15,738.87
  6. Step 6: Final answer
    x = 7,806.63

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