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Finding the Fourth Proportional to 16,683.67, 23,021.19 and 9,967.87

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Solution

The fourth proportional to 16,683.67, 23,021.19 and 9,967.87 is: 13,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.67 : 23,021.19 = 9,967.87 : x
  2. Step 2: Convert to fraction form
    16,683.67/23,021.19 = 9,967.87/x
  3. Step 3: Cross multiply
    16,683.67x = 23,021.19 × 9,967.87
  4. Step 4: Simplify right side
    16,683.67x = 229,472,257.94
  5. Step 5: Solve for x
    x = 229,472,257.94/16,683.67
  6. Step 6: Final answer
    x = 13,754.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.