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Finding the Fourth Proportional to 14,046.77, 21,064.30 and 5,721.14

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Solution

The fourth proportional to 14,046.77, 21,064.30 and 5,721.14 is: 8,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.77 : 21,064.30 = 5,721.14 : x
  2. Step 2: Convert to fraction form
    14,046.77/21,064.30 = 5,721.14/x
  3. Step 3: Cross multiply
    14,046.77x = 21,064.30 × 5,721.14
  4. Step 4: Simplify right side
    14,046.77x = 120,511,847.66
  5. Step 5: Solve for x
    x = 120,511,847.66/14,046.77
  6. Step 6: Final answer
    x = 8,579.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.