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Finding the Fourth Proportional to 12,633.58, 17,434.10 and 6,968.85

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Solution

The fourth proportional to 12,633.58, 17,434.10 and 6,968.85 is: 9,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.58 : 17,434.10 = 6,968.85 : x
  2. Step 2: Convert to fraction form
    12,633.58/17,434.10 = 6,968.85/x
  3. Step 3: Cross multiply
    12,633.58x = 17,434.10 × 6,968.85
  4. Step 4: Simplify right side
    12,633.58x = 121,495,540.61
  5. Step 5: Solve for x
    x = 121,495,540.61/12,633.58
  6. Step 6: Final answer
    x = 9,616.87

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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.