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Finding the Fourth Proportional to 13,543.64, 20,320.32 and 9,839.60

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Solution

The fourth proportional to 13,543.64, 20,320.32 and 9,839.60 is: 14,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.64 : 20,320.32 = 9,839.60 : x
  2. Step 2: Convert to fraction form
    13,543.64/20,320.32 = 9,839.60/x
  3. Step 3: Cross multiply
    13,543.64x = 20,320.32 × 9,839.60
  4. Step 4: Simplify right side
    13,543.64x = 199,943,820.67
  5. Step 5: Solve for x
    x = 199,943,820.67/13,543.64
  6. Step 6: Final answer
    x = 14,762.93

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