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Finding the Fourth Proportional to 16,684.67, 23,029.97 and 9,615.80

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Solution

The fourth proportional to 16,684.67, 23,029.97 and 9,615.80 is: 13,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.67 : 23,029.97 = 9,615.80 : x
  2. Step 2: Convert to fraction form
    16,684.67/23,029.97 = 9,615.80/x
  3. Step 3: Cross multiply
    16,684.67x = 23,029.97 × 9,615.80
  4. Step 4: Simplify right side
    16,684.67x = 221,451,585.53
  5. Step 5: Solve for x
    x = 221,451,585.53/16,684.67
  6. Step 6: Final answer
    x = 13,272.76

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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.