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Finding the Fourth Proportional to 13,720.92, 20,564.49 and 7,802.76

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Solution

The fourth proportional to 13,720.92, 20,564.49 and 7,802.76 is: 11,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.92 : 20,564.49 = 7,802.76 : x
  2. Step 2: Convert to fraction form
    13,720.92/20,564.49 = 7,802.76/x
  3. Step 3: Cross multiply
    13,720.92x = 20,564.49 × 7,802.76
  4. Step 4: Simplify right side
    13,720.92x = 160,459,779.99
  5. Step 5: Solve for x
    x = 160,459,779.99/13,720.92
  6. Step 6: Final answer
    x = 11,694.54

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