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Finding the Fourth Proportional to 12,154.28, 16,767.97 and 7,441.29

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Solution

The fourth proportional to 12,154.28, 16,767.97 and 7,441.29 is: 10,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.28 : 16,767.97 = 7,441.29 : x
  2. Step 2: Convert to fraction form
    12,154.28/16,767.97 = 7,441.29/x
  3. Step 3: Cross multiply
    12,154.28x = 16,767.97 × 7,441.29
  4. Step 4: Simplify right side
    12,154.28x = 124,775,308.88
  5. Step 5: Solve for x
    x = 124,775,308.88/12,154.28
  6. Step 6: Final answer
    x = 10,265.96

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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.