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Finding the Fourth Proportional to 14,282, 21,431.64 and 6,074

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Solution

The fourth proportional to 14,282, 21,431.64 and 6,074 is: 9,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282 : 21,431.64 = 6,074 : x
  2. Step 2: Convert to fraction form
    14,282/21,431.64 = 6,074/x
  3. Step 3: Cross multiply
    14,282x = 21,431.64 × 6,074
  4. Step 4: Simplify right side
    14,282x = 130,175,781.36
  5. Step 5: Solve for x
    x = 130,175,781.36/14,282
  6. Step 6: Final answer
    x = 9,114.67

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