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Finding the Fourth Proportional to 17,924.96, 24,735.79 and 9,858.55

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Solution

The fourth proportional to 17,924.96, 24,735.79 and 9,858.55 is: 13,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.96 : 24,735.79 = 9,858.55 : x
  2. Step 2: Convert to fraction form
    17,924.96/24,735.79 = 9,858.55/x
  3. Step 3: Cross multiply
    17,924.96x = 24,735.79 × 9,858.55
  4. Step 4: Simplify right side
    17,924.96x = 243,859,022.50
  5. Step 5: Solve for x
    x = 243,859,022.50/17,924.96
  6. Step 6: Final answer
    x = 13,604.44

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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.