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Finding the Fourth Proportional to 24,394.97, 33,665.83 and 13,785.30

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Solution

The fourth proportional to 24,394.97, 33,665.83 and 13,785.30 is: 19,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.97 : 33,665.83 = 13,785.30 : x
  2. Step 2: Convert to fraction form
    24,394.97/33,665.83 = 13,785.30/x
  3. Step 3: Cross multiply
    24,394.97x = 33,665.83 × 13,785.30
  4. Step 4: Simplify right side
    24,394.97x = 464,093,531.84
  5. Step 5: Solve for x
    x = 464,093,531.84/24,394.97
  6. Step 6: Final answer
    x = 19,024.15

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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.