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Finding the Fourth Proportional to 37,205.16, 55,802.82 and 13,828.44

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Solution

The fourth proportional to 37,205.16, 55,802.82 and 13,828.44 is: 20,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.16 : 55,802.82 = 13,828.44 : x
  2. Step 2: Convert to fraction form
    37,205.16/55,802.82 = 13,828.44/x
  3. Step 3: Cross multiply
    37,205.16x = 55,802.82 × 13,828.44
  4. Step 4: Simplify right side
    37,205.16x = 771,665,948.20
  5. Step 5: Solve for x
    x = 771,665,948.20/37,205.16
  6. Step 6: Final answer
    x = 20,740.83

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