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Finding the Fourth Proportional to 13,828.16, 20,714.80 and 6,422.40

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Solution

The fourth proportional to 13,828.16, 20,714.80 and 6,422.40 is: 9,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.16 : 20,714.80 = 6,422.40 : x
  2. Step 2: Convert to fraction form
    13,828.16/20,714.80 = 6,422.40/x
  3. Step 3: Cross multiply
    13,828.16x = 20,714.80 × 6,422.40
  4. Step 4: Simplify right side
    13,828.16x = 133,038,731.52
  5. Step 5: Solve for x
    x = 133,038,731.52/13,828.16
  6. Step 6: Final answer
    x = 9,620.86

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