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Finding the Fourth Proportional to 21,665.84, 32,474.45 and 14,183.73

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Solution

The fourth proportional to 21,665.84, 32,474.45 and 14,183.73 is: 21,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.84 : 32,474.45 = 14,183.73 : x
  2. Step 2: Convert to fraction form
    21,665.84/32,474.45 = 14,183.73/x
  3. Step 3: Cross multiply
    21,665.84x = 32,474.45 × 14,183.73
  4. Step 4: Simplify right side
    21,665.84x = 460,608,866.16
  5. Step 5: Solve for x
    x = 460,608,866.16/21,665.84
  6. Step 6: Final answer
    x = 21,259.69

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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.