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Finding the Fourth Proportional to 14,257.35, 19,676.12 and 7,968.51

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Solution

The fourth proportional to 14,257.35, 19,676.12 and 7,968.51 is: 10,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.35 : 19,676.12 = 7,968.51 : x
  2. Step 2: Convert to fraction form
    14,257.35/19,676.12 = 7,968.51/x
  3. Step 3: Cross multiply
    14,257.35x = 19,676.12 × 7,968.51
  4. Step 4: Simplify right side
    14,257.35x = 156,789,319.14
  5. Step 5: Solve for x
    x = 156,789,319.14/14,257.35
  6. Step 6: Final answer
    x = 10,997.09

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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.