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Finding the Fourth Proportional to 13,084.71, 19,578.57 and 7,822.63

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Solution

The fourth proportional to 13,084.71, 19,578.57 and 7,822.63 is: 11,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.71 : 19,578.57 = 7,822.63 : x
  2. Step 2: Convert to fraction form
    13,084.71/19,578.57 = 7,822.63/x
  3. Step 3: Cross multiply
    13,084.71x = 19,578.57 × 7,822.63
  4. Step 4: Simplify right side
    13,084.71x = 153,155,909.04
  5. Step 5: Solve for x
    x = 153,155,909.04/13,084.71
  6. Step 6: Final answer
    x = 11,704.95

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