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Finding the Fourth Proportional to 16,821.41, 23,212.60 and 9,266.29

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Solution

The fourth proportional to 16,821.41, 23,212.60 and 9,266.29 is: 12,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.41 : 23,212.60 = 9,266.29 : x
  2. Step 2: Convert to fraction form
    16,821.41/23,212.60 = 9,266.29/x
  3. Step 3: Cross multiply
    16,821.41x = 23,212.60 × 9,266.29
  4. Step 4: Simplify right side
    16,821.41x = 215,094,602.06
  5. Step 5: Solve for x
    x = 215,094,602.06/16,821.41
  6. Step 6: Final answer
    x = 12,786.96

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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.