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Finding the Fourth Proportional to 21,075.38, 31,614.89 and 5,493

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Solution

The fourth proportional to 21,075.38, 31,614.89 and 5,493 is: 8,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.38 : 31,614.89 = 5,493 : x
  2. Step 2: Convert to fraction form
    21,075.38/31,614.89 = 5,493/x
  3. Step 3: Cross multiply
    21,075.38x = 31,614.89 × 5,493
  4. Step 4: Simplify right side
    21,075.38x = 173,660,563.31
  5. Step 5: Solve for x
    x = 173,660,563.31/21,075.38
  6. Step 6: Final answer
    x = 8,239.98

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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.