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Finding the Fourth Proportional to 16,823.34, 23,218.02 and 9,270.44

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Solution

The fourth proportional to 16,823.34, 23,218.02 and 9,270.44 is: 12,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.34 : 23,218.02 = 9,270.44 : x
  2. Step 2: Convert to fraction form
    16,823.34/23,218.02 = 9,270.44/x
  3. Step 3: Cross multiply
    16,823.34x = 23,218.02 × 9,270.44
  4. Step 4: Simplify right side
    16,823.34x = 215,241,261.33
  5. Step 5: Solve for x
    x = 215,241,261.33/16,823.34
  6. Step 6: Final answer
    x = 12,794.21

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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.