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Finding the Fourth Proportional to 12,801.12, 17,666.57 and 7,137.71

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Solution

The fourth proportional to 12,801.12, 17,666.57 and 7,137.71 is: 9,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.12 : 17,666.57 = 7,137.71 : x
  2. Step 2: Convert to fraction form
    12,801.12/17,666.57 = 7,137.71/x
  3. Step 3: Cross multiply
    12,801.12x = 17,666.57 × 7,137.71
  4. Step 4: Simplify right side
    12,801.12x = 126,098,915.37
  5. Step 5: Solve for x
    x = 126,098,915.37/12,801.12
  6. Step 6: Final answer
    x = 9,850.62

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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.