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Finding the Fourth Proportional to 21,043.98, 31,563.81 and 13,229.10

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Solution

The fourth proportional to 21,043.98, 31,563.81 and 13,229.10 is: 19,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.98 : 31,563.81 = 13,229.10 : x
  2. Step 2: Convert to fraction form
    21,043.98/31,563.81 = 13,229.10/x
  3. Step 3: Cross multiply
    21,043.98x = 31,563.81 × 13,229.10
  4. Step 4: Simplify right side
    21,043.98x = 417,560,798.87
  5. Step 5: Solve for x
    x = 417,560,798.87/21,043.98
  6. Step 6: Final answer
    x = 19,842.29

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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.