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Finding the Fourth Proportional to 24,431.71, 33,716.51 and 13,676.40

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Solution

The fourth proportional to 24,431.71, 33,716.51 and 13,676.40 is: 18,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.71 : 33,716.51 = 13,676.40 : x
  2. Step 2: Convert to fraction form
    24,431.71/33,716.51 = 13,676.40/x
  3. Step 3: Cross multiply
    24,431.71x = 33,716.51 × 13,676.40
  4. Step 4: Simplify right side
    24,431.71x = 461,120,477.36
  5. Step 5: Solve for x
    x = 461,120,477.36/24,431.71
  6. Step 6: Final answer
    x = 18,873.85

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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.