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Finding the Fourth Proportional to 23,897, 32,978.70 and 13,142.68

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Solution

The fourth proportional to 23,897, 32,978.70 and 13,142.68 is: 18,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897 : 32,978.70 = 13,142.68 : x
  2. Step 2: Convert to fraction form
    23,897/32,978.70 = 13,142.68/x
  3. Step 3: Cross multiply
    23,897x = 32,978.70 × 13,142.68
  4. Step 4: Simplify right side
    23,897x = 433,428,500.92
  5. Step 5: Solve for x
    x = 433,428,500.92/23,897
  6. Step 6: Final answer
    x = 18,137.36

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