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Finding the Fourth Proportional to 20,534.22, 30,802.87 and 5,742.93

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Solution

The fourth proportional to 20,534.22, 30,802.87 and 5,742.93 is: 8,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.22 : 30,802.87 = 5,742.93 : x
  2. Step 2: Convert to fraction form
    20,534.22/30,802.87 = 5,742.93/x
  3. Step 3: Cross multiply
    20,534.22x = 30,802.87 × 5,742.93
  4. Step 4: Simplify right side
    20,534.22x = 176,898,580.92
  5. Step 5: Solve for x
    x = 176,898,580.92/20,534.22
  6. Step 6: Final answer
    x = 8,614.82

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