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Finding the Fourth Proportional to 20,938.86, 31,384.89 and 9,078.93

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Solution

The fourth proportional to 20,938.86, 31,384.89 and 9,078.93 is: 13,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.86 : 31,384.89 = 9,078.93 : x
  2. Step 2: Convert to fraction form
    20,938.86/31,384.89 = 9,078.93/x
  3. Step 3: Cross multiply
    20,938.86x = 31,384.89 × 9,078.93
  4. Step 4: Simplify right side
    20,938.86x = 284,941,219.37
  5. Step 5: Solve for x
    x = 284,941,219.37/20,938.86
  6. Step 6: Final answer
    x = 13,608.25

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