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Finding the Fourth Proportional to 13,857.78, 19,123.44 and 7,570.20

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Solution

The fourth proportional to 13,857.78, 19,123.44 and 7,570.20 is: 10,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.78 : 19,123.44 = 7,570.20 : x
  2. Step 2: Convert to fraction form
    13,857.78/19,123.44 = 7,570.20/x
  3. Step 3: Cross multiply
    13,857.78x = 19,123.44 × 7,570.20
  4. Step 4: Simplify right side
    13,857.78x = 144,768,265.49
  5. Step 5: Solve for x
    x = 144,768,265.49/13,857.78
  6. Step 6: Final answer
    x = 10,446.71

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