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Finding the Fourth Proportional to 17,800.12, 24,564.56 and 9,843.24

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Solution

The fourth proportional to 17,800.12, 24,564.56 and 9,843.24 is: 13,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.12 : 24,564.56 = 9,843.24 : x
  2. Step 2: Convert to fraction form
    17,800.12/24,564.56 = 9,843.24/x
  3. Step 3: Cross multiply
    17,800.12x = 24,564.56 × 9,843.24
  4. Step 4: Simplify right side
    17,800.12x = 241,794,859.57
  5. Step 5: Solve for x
    x = 241,794,859.57/17,800.12
  6. Step 6: Final answer
    x = 13,583.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.