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Finding the Fourth Proportional to 12,961.24, 17,885.82 and 7,372.12

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Solution

The fourth proportional to 12,961.24, 17,885.82 and 7,372.12 is: 10,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.24 : 17,885.82 = 7,372.12 : x
  2. Step 2: Convert to fraction form
    12,961.24/17,885.82 = 7,372.12/x
  3. Step 3: Cross multiply
    12,961.24x = 17,885.82 × 7,372.12
  4. Step 4: Simplify right side
    12,961.24x = 131,856,411.34
  5. Step 5: Solve for x
    x = 131,856,411.34/12,961.24
  6. Step 6: Final answer
    x = 10,173.13

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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.