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Finding the Fourth Proportional to 21,796.81, 32,728.01 and 12,447.38

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Solution

The fourth proportional to 21,796.81, 32,728.01 and 12,447.38 is: 18,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.81 : 32,728.01 = 12,447.38 : x
  2. Step 2: Convert to fraction form
    21,796.81/32,728.01 = 12,447.38/x
  3. Step 3: Cross multiply
    21,796.81x = 32,728.01 × 12,447.38
  4. Step 4: Simplify right side
    21,796.81x = 407,377,977.11
  5. Step 5: Solve for x
    x = 407,377,977.11/21,796.81
  6. Step 6: Final answer
    x = 18,689.80

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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.