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Finding the Fourth Proportional to 30,778.32, 42,464.64 and 18,829.20

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Solution

The fourth proportional to 30,778.32, 42,464.64 and 18,829.20 is: 25,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.32 : 42,464.64 = 18,829.20 : x
  2. Step 2: Convert to fraction form
    30,778.32/42,464.64 = 18,829.20/x
  3. Step 3: Cross multiply
    30,778.32x = 42,464.64 × 18,829.20
  4. Step 4: Simplify right side
    30,778.32x = 799,575,199.49
  5. Step 5: Solve for x
    x = 799,575,199.49/30,778.32
  6. Step 6: Final answer
    x = 25,978.52

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