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Finding the Fourth Proportional to 13,967.84, 20,923.70 and 6,460.88

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Solution

The fourth proportional to 13,967.84, 20,923.70 and 6,460.88 is: 9,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.84 : 20,923.70 = 6,460.88 : x
  2. Step 2: Convert to fraction form
    13,967.84/20,923.70 = 6,460.88/x
  3. Step 3: Cross multiply
    13,967.84x = 20,923.70 × 6,460.88
  4. Step 4: Simplify right side
    13,967.84x = 135,185,482.55
  5. Step 5: Solve for x
    x = 135,185,482.55/13,967.84
  6. Step 6: Final answer
    x = 9,678.34

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