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Finding the Fourth Proportional to 16,211.73, 24,328.53 and 6,349.78

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Solution

The fourth proportional to 16,211.73, 24,328.53 and 6,349.78 is: 9,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.73 : 24,328.53 = 6,349.78 : x
  2. Step 2: Convert to fraction form
    16,211.73/24,328.53 = 6,349.78/x
  3. Step 3: Cross multiply
    16,211.73x = 24,328.53 × 6,349.78
  4. Step 4: Simplify right side
    16,211.73x = 154,480,813.22
  5. Step 5: Solve for x
    x = 154,480,813.22/16,211.73
  6. Step 6: Final answer
    x = 9,528.96

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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.