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Finding the Fourth Proportional to 12,676.68, 17,492.64 and 7,371.42

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Solution

The fourth proportional to 12,676.68, 17,492.64 and 7,371.42 is: 10,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.68 : 17,492.64 = 7,371.42 : x
  2. Step 2: Convert to fraction form
    12,676.68/17,492.64 = 7,371.42/x
  3. Step 3: Cross multiply
    12,676.68x = 17,492.64 × 7,371.42
  4. Step 4: Simplify right side
    12,676.68x = 128,945,596.35
  5. Step 5: Solve for x
    x = 128,945,596.35/12,676.68
  6. Step 6: Final answer
    x = 10,171.87

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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.