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Finding the Fourth Proportional to 16,771.84, 23,131.40 and 10,394

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Solution

The fourth proportional to 16,771.84, 23,131.40 and 10,394 is: 14,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771.84 : 23,131.40 = 10,394 : x
  2. Step 2: Convert to fraction form
    16,771.84/23,131.40 = 10,394/x
  3. Step 3: Cross multiply
    16,771.84x = 23,131.40 × 10,394
  4. Step 4: Simplify right side
    16,771.84x = 240,427,771.60
  5. Step 5: Solve for x
    x = 240,427,771.60/16,771.84
  6. Step 6: Final answer
    x = 14,335.21

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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.