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Finding the Fourth Proportional to 16,179.96, 24,269.06 and 5,646.72

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Solution

The fourth proportional to 16,179.96, 24,269.06 and 5,646.72 is: 8,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.96 : 24,269.06 = 5,646.72 : x
  2. Step 2: Convert to fraction form
    16,179.96/24,269.06 = 5,646.72/x
  3. Step 3: Cross multiply
    16,179.96x = 24,269.06 × 5,646.72
  4. Step 4: Simplify right side
    16,179.96x = 137,040,586.48
  5. Step 5: Solve for x
    x = 137,040,586.48/16,179.96
  6. Step 6: Final answer
    x = 8,469.77

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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.