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Finding the Fourth Proportional to 20,987.38, 31,461.63 and 7,829.74

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Solution

The fourth proportional to 20,987.38, 31,461.63 and 7,829.74 is: 11,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987.38 : 31,461.63 = 7,829.74 : x
  2. Step 2: Convert to fraction form
    20,987.38/31,461.63 = 7,829.74/x
  3. Step 3: Cross multiply
    20,987.38x = 31,461.63 × 7,829.74
  4. Step 4: Simplify right side
    20,987.38x = 246,336,382.88
  5. Step 5: Solve for x
    x = 246,336,382.88/20,987.38
  6. Step 6: Final answer
    x = 11,737.36

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