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Finding the Fourth Proportional to 36,299.28, 54,414.36 and 11,658

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Solution

The fourth proportional to 36,299.28, 54,414.36 and 11,658 is: 17,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,299.28 : 54,414.36 = 11,658 : x
  2. Step 2: Convert to fraction form
    36,299.28/54,414.36 = 11,658/x
  3. Step 3: Cross multiply
    36,299.28x = 54,414.36 × 11,658
  4. Step 4: Simplify right side
    36,299.28x = 634,362,608.88
  5. Step 5: Solve for x
    x = 634,362,608.88/36,299.28
  6. Step 6: Final answer
    x = 17,475.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.