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Finding the Fourth Proportional to 24,175.60, 33,361.80 and 13,419.84

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Solution

The fourth proportional to 24,175.60, 33,361.80 and 13,419.84 is: 18,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.60 : 33,361.80 = 13,419.84 : x
  2. Step 2: Convert to fraction form
    24,175.60/33,361.80 = 13,419.84/x
  3. Step 3: Cross multiply
    24,175.60x = 33,361.80 × 13,419.84
  4. Step 4: Simplify right side
    24,175.60x = 447,710,018.11
  5. Step 5: Solve for x
    x = 447,710,018.11/24,175.60
  6. Step 6: Final answer
    x = 18,519.09

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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.