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Finding the Fourth Proportional to 17,863.78, 24,645.96 and 11,577.40

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Solution

The fourth proportional to 17,863.78, 24,645.96 and 11,577.40 is: 15,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.78 : 24,645.96 = 11,577.40 : x
  2. Step 2: Convert to fraction form
    17,863.78/24,645.96 = 11,577.40/x
  3. Step 3: Cross multiply
    17,863.78x = 24,645.96 × 11,577.40
  4. Step 4: Simplify right side
    17,863.78x = 285,336,137.30
  5. Step 5: Solve for x
    x = 285,336,137.30/17,863.78
  6. Step 6: Final answer
    x = 15,972.89

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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.