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Finding the Fourth Proportional to 17,741.53, 24,483.67 and 11,464.84

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Solution

The fourth proportional to 17,741.53, 24,483.67 and 11,464.84 is: 15,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.53 : 24,483.67 = 11,464.84 : x
  2. Step 2: Convert to fraction form
    17,741.53/24,483.67 = 11,464.84/x
  3. Step 3: Cross multiply
    17,741.53x = 24,483.67 × 11,464.84
  4. Step 4: Simplify right side
    17,741.53x = 280,701,361.11
  5. Step 5: Solve for x
    x = 280,701,361.11/17,741.53
  6. Step 6: Final answer
    x = 15,821.71

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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.