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Finding the Fourth Proportional to 17,693.86, 24,418.56 and 10,142.54

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Solution

The fourth proportional to 17,693.86, 24,418.56 and 10,142.54 is: 13,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.86 : 24,418.56 = 10,142.54 : x
  2. Step 2: Convert to fraction form
    17,693.86/24,418.56 = 10,142.54/x
  3. Step 3: Cross multiply
    17,693.86x = 24,418.56 × 10,142.54
  4. Step 4: Simplify right side
    17,693.86x = 247,666,221.54
  5. Step 5: Solve for x
    x = 247,666,221.54/17,693.86
  6. Step 6: Final answer
    x = 13,997.30

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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.