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Finding the Fourth Proportional to 17,634.58, 24,336.11 and 9,676.78

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Solution

The fourth proportional to 17,634.58, 24,336.11 and 9,676.78 is: 13,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.58 : 24,336.11 = 9,676.78 : x
  2. Step 2: Convert to fraction form
    17,634.58/24,336.11 = 9,676.78/x
  3. Step 3: Cross multiply
    17,634.58x = 24,336.11 × 9,676.78
  4. Step 4: Simplify right side
    17,634.58x = 235,495,145.88
  5. Step 5: Solve for x
    x = 235,495,145.88/17,634.58
  6. Step 6: Final answer
    x = 13,354.17

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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.