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Finding the Fourth Proportional to 16,760.50, 23,129.44 and 9,206.80

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Solution

The fourth proportional to 16,760.50, 23,129.44 and 9,206.80 is: 12,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.50 : 23,129.44 = 9,206.80 : x
  2. Step 2: Convert to fraction form
    16,760.50/23,129.44 = 9,206.80/x
  3. Step 3: Cross multiply
    16,760.50x = 23,129.44 × 9,206.80
  4. Step 4: Simplify right side
    16,760.50x = 212,948,128.19
  5. Step 5: Solve for x
    x = 212,948,128.19/16,760.50
  6. Step 6: Final answer
    x = 12,705.36

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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.