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Finding the Fourth Proportional to 17,757.09, 24,503.96 and 10,198.10

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Solution

The fourth proportional to 17,757.09, 24,503.96 and 10,198.10 is: 14,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.09 : 24,503.96 = 10,198.10 : x
  2. Step 2: Convert to fraction form
    17,757.09/24,503.96 = 10,198.10/x
  3. Step 3: Cross multiply
    17,757.09x = 24,503.96 × 10,198.10
  4. Step 4: Simplify right side
    17,757.09x = 249,893,660.97
  5. Step 5: Solve for x
    x = 249,893,660.97/17,757.09
  6. Step 6: Final answer
    x = 14,072.89

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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.