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Finding the Fourth Proportional to 25,985.56, 38,977.80 and 10,399

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Solution

The fourth proportional to 25,985.56, 38,977.80 and 10,399 is: 15,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,985.56 : 38,977.80 = 10,399 : x
  2. Step 2: Convert to fraction form
    25,985.56/38,977.80 = 10,399/x
  3. Step 3: Cross multiply
    25,985.56x = 38,977.80 × 10,399
  4. Step 4: Simplify right side
    25,985.56x = 405,330,142.20
  5. Step 5: Solve for x
    x = 405,330,142.20/25,985.56
  6. Step 6: Final answer
    x = 15,598.28

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