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Finding the Fourth Proportional to 12,646.33, 18,975.57 and 6,802.18

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Solution

The fourth proportional to 12,646.33, 18,975.57 and 6,802.18 is: 10,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.33 : 18,975.57 = 6,802.18 : x
  2. Step 2: Convert to fraction form
    12,646.33/18,975.57 = 6,802.18/x
  3. Step 3: Cross multiply
    12,646.33x = 18,975.57 × 6,802.18
  4. Step 4: Simplify right side
    12,646.33x = 129,075,242.74
  5. Step 5: Solve for x
    x = 129,075,242.74/12,646.33
  6. Step 6: Final answer
    x = 10,206.54

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