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Finding the Fourth Proportional to 30,978.84, 42,749.64 and 16,831.20

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Solution

The fourth proportional to 30,978.84, 42,749.64 and 16,831.20 is: 23,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.84 : 42,749.64 = 16,831.20 : x
  2. Step 2: Convert to fraction form
    30,978.84/42,749.64 = 16,831.20/x
  3. Step 3: Cross multiply
    30,978.84x = 42,749.64 × 16,831.20
  4. Step 4: Simplify right side
    30,978.84x = 719,527,740.77
  5. Step 5: Solve for x
    x = 719,527,740.77/30,978.84
  6. Step 6: Final answer
    x = 23,226.43

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