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Finding the Fourth Proportional to 17,493.86, 24,142.11 and 10,419.32

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Solution

The fourth proportional to 17,493.86, 24,142.11 and 10,419.32 is: 14,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.86 : 24,142.11 = 10,419.32 : x
  2. Step 2: Convert to fraction form
    17,493.86/24,142.11 = 10,419.32/x
  3. Step 3: Cross multiply
    17,493.86x = 24,142.11 × 10,419.32
  4. Step 4: Simplify right side
    17,493.86x = 251,544,369.57
  5. Step 5: Solve for x
    x = 251,544,369.57/17,493.86
  6. Step 6: Final answer
    x = 14,379.01

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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.