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Finding the Fourth Proportional to 30,396.24, 45,596.16 and 10,676.16

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Solution

The fourth proportional to 30,396.24, 45,596.16 and 10,676.16 is: 16,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.24 : 45,596.16 = 10,676.16 : x
  2. Step 2: Convert to fraction form
    30,396.24/45,596.16 = 10,676.16/x
  3. Step 3: Cross multiply
    30,396.24x = 45,596.16 × 10,676.16
  4. Step 4: Simplify right side
    30,396.24x = 486,791,899.55
  5. Step 5: Solve for x
    x = 486,791,899.55/30,396.24
  6. Step 6: Final answer
    x = 16,014.87

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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.