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Finding the Fourth Proportional to 20,985.58, 31,478.52 and 7,837.84

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Solution

The fourth proportional to 20,985.58, 31,478.52 and 7,837.84 is: 11,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985.58 : 31,478.52 = 7,837.84 : x
  2. Step 2: Convert to fraction form
    20,985.58/31,478.52 = 7,837.84/x
  3. Step 3: Cross multiply
    20,985.58x = 31,478.52 × 7,837.84
  4. Step 4: Simplify right side
    20,985.58x = 246,723,603.20
  5. Step 5: Solve for x
    x = 246,723,603.20/20,985.58
  6. Step 6: Final answer
    x = 11,756.82

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