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Finding the Fourth Proportional to 24,175.59, 33,361.78 and 13,419.83

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Solution

The fourth proportional to 24,175.59, 33,361.78 and 13,419.83 is: 18,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.59 : 33,361.78 = 13,419.83 : x
  2. Step 2: Convert to fraction form
    24,175.59/33,361.78 = 13,419.83/x
  3. Step 3: Cross multiply
    24,175.59x = 33,361.78 × 13,419.83
  4. Step 4: Simplify right side
    24,175.59x = 447,709,416.10
  5. Step 5: Solve for x
    x = 447,709,416.10/24,175.59
  6. Step 6: Final answer
    x = 18,519.07

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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.