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Finding the Fourth Proportional to 12,638.85, 17,434.80 and 9,649.49

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Solution

The fourth proportional to 12,638.85, 17,434.80 and 9,649.49 is: 13,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.85 : 17,434.80 = 9,649.49 : x
  2. Step 2: Convert to fraction form
    12,638.85/17,434.80 = 9,649.49/x
  3. Step 3: Cross multiply
    12,638.85x = 17,434.80 × 9,649.49
  4. Step 4: Simplify right side
    12,638.85x = 168,236,841.08
  5. Step 5: Solve for x
    x = 168,236,841.08/12,638.85
  6. Step 6: Final answer
    x = 13,311.09

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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.