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Finding the Fourth Proportional to 17,676.05, 24,393 and 10,122.50

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Solution

The fourth proportional to 17,676.05, 24,393 and 10,122.50 is: 13,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.05 : 24,393 = 10,122.50 : x
  2. Step 2: Convert to fraction form
    17,676.05/24,393 = 10,122.50/x
  3. Step 3: Cross multiply
    17,676.05x = 24,393 × 10,122.50
  4. Step 4: Simplify right side
    17,676.05x = 246,918,142.50
  5. Step 5: Solve for x
    x = 246,918,142.50/17,676.05
  6. Step 6: Final answer
    x = 13,969.08

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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.