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Finding the Fourth Proportional to 21,213.65, 31,665.39 and 19,671.77

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Solution

The fourth proportional to 21,213.65, 31,665.39 and 19,671.77 is: 29,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213.65 : 31,665.39 = 19,671.77 : x
  2. Step 2: Convert to fraction form
    21,213.65/31,665.39 = 19,671.77/x
  3. Step 3: Cross multiply
    21,213.65x = 31,665.39 × 19,671.77
  4. Step 4: Simplify right side
    21,213.65x = 622,914,269.04
  5. Step 5: Solve for x
    x = 622,914,269.04/21,213.65
  6. Step 6: Final answer
    x = 29,363.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.