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Finding the Fourth Proportional to 13,670.95, 20,506.42 and 7,823.42

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Solution

The fourth proportional to 13,670.95, 20,506.42 and 7,823.42 is: 11,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.95 : 20,506.42 = 7,823.42 : x
  2. Step 2: Convert to fraction form
    13,670.95/20,506.42 = 7,823.42/x
  3. Step 3: Cross multiply
    13,670.95x = 20,506.42 × 7,823.42
  4. Step 4: Simplify right side
    13,670.95x = 160,430,297.24
  5. Step 5: Solve for x
    x = 160,430,297.24/13,670.95
  6. Step 6: Final answer
    x = 11,735.13

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