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Finding the Fourth Proportional to 17,691.86, 24,415.80 and 10,140.54

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Solution

The fourth proportional to 17,691.86, 24,415.80 and 10,140.54 is: 13,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.86 : 24,415.80 = 10,140.54 : x
  2. Step 2: Convert to fraction form
    17,691.86/24,415.80 = 10,140.54/x
  3. Step 3: Cross multiply
    17,691.86x = 24,415.80 × 10,140.54
  4. Step 4: Simplify right side
    17,691.86x = 247,589,396.53
  5. Step 5: Solve for x
    x = 247,589,396.53/17,691.86
  6. Step 6: Final answer
    x = 13,994.54

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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.