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Finding the Fourth Proportional to 13,746.64, 18,970.20 and 7,779.44

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Solution

The fourth proportional to 13,746.64, 18,970.20 and 7,779.44 is: 10,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.64 : 18,970.20 = 7,779.44 : x
  2. Step 2: Convert to fraction form
    13,746.64/18,970.20 = 7,779.44/x
  3. Step 3: Cross multiply
    13,746.64x = 18,970.20 × 7,779.44
  4. Step 4: Simplify right side
    13,746.64x = 147,577,532.69
  5. Step 5: Solve for x
    x = 147,577,532.69/13,746.64
  6. Step 6: Final answer
    x = 10,735.53

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