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Finding the Fourth Proportional to 16,446.12, 24,677.28 and 7,679.76

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Solution

The fourth proportional to 16,446.12, 24,677.28 and 7,679.76 is: 11,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.12 : 24,677.28 = 7,679.76 : x
  2. Step 2: Convert to fraction form
    16,446.12/24,677.28 = 7,679.76/x
  3. Step 3: Cross multiply
    16,446.12x = 24,677.28 × 7,679.76
  4. Step 4: Simplify right side
    16,446.12x = 189,515,587.85
  5. Step 5: Solve for x
    x = 189,515,587.85/16,446.12
  6. Step 6: Final answer
    x = 11,523.42

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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.