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Finding the Fourth Proportional to 16,495.67, 24,756.80 and 9,384.27

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Solution

The fourth proportional to 16,495.67, 24,756.80 and 9,384.27 is: 14,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.67 : 24,756.80 = 9,384.27 : x
  2. Step 2: Convert to fraction form
    16,495.67/24,756.80 = 9,384.27/x
  3. Step 3: Cross multiply
    16,495.67x = 24,756.80 × 9,384.27
  4. Step 4: Simplify right side
    16,495.67x = 232,324,495.54
  5. Step 5: Solve for x
    x = 232,324,495.54/16,495.67
  6. Step 6: Final answer
    x = 14,083.97

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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.