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Finding the Fourth Proportional to 13,877.59, 19,149.92 and 7,827.50

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Solution

The fourth proportional to 13,877.59, 19,149.92 and 7,827.50 is: 10,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.59 : 19,149.92 = 7,827.50 : x
  2. Step 2: Convert to fraction form
    13,877.59/19,149.92 = 7,827.50/x
  3. Step 3: Cross multiply
    13,877.59x = 19,149.92 × 7,827.50
  4. Step 4: Simplify right side
    13,877.59x = 149,895,921.57
  5. Step 5: Solve for x
    x = 149,895,921.57/13,877.59
  6. Step 6: Final answer
    x = 10,801.29

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