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Finding the Fourth Proportional to 14,961, 20,647.62 and 8,337

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Solution

The fourth proportional to 14,961, 20,647.62 and 8,337 is: 11,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961 : 20,647.62 = 8,337 : x
  2. Step 2: Convert to fraction form
    14,961/20,647.62 = 8,337/x
  3. Step 3: Cross multiply
    14,961x = 20,647.62 × 8,337
  4. Step 4: Simplify right side
    14,961x = 172,139,207.94
  5. Step 5: Solve for x
    x = 172,139,207.94/14,961
  6. Step 6: Final answer
    x = 11,505.86

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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.