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Finding the Fourth Proportional to 24,978, 34,472.16 and 13,800

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Solution

The fourth proportional to 24,978, 34,472.16 and 13,800 is: 19,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978 : 34,472.16 = 13,800 : x
  2. Step 2: Convert to fraction form
    24,978/34,472.16 = 13,800/x
  3. Step 3: Cross multiply
    24,978x = 34,472.16 × 13,800
  4. Step 4: Simplify right side
    24,978x = 475,715,808.00
  5. Step 5: Solve for x
    x = 475,715,808.00/24,978
  6. Step 6: Final answer
    x = 19,045.39

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