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Finding the Fourth Proportional to 14,049.94, 19,388.69 and 7,676.40

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Solution

The fourth proportional to 14,049.94, 19,388.69 and 7,676.40 is: 10,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.94 : 19,388.69 = 7,676.40 : x
  2. Step 2: Convert to fraction form
    14,049.94/19,388.69 = 7,676.40/x
  3. Step 3: Cross multiply
    14,049.94x = 19,388.69 × 7,676.40
  4. Step 4: Simplify right side
    14,049.94x = 148,835,318.97
  5. Step 5: Solve for x
    x = 148,835,318.97/14,049.94
  6. Step 6: Final answer
    x = 10,593.30

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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.