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Finding the Fourth Proportional to 21,614.20, 32,193.99 and 20,603

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Solution

The fourth proportional to 21,614.20, 32,193.99 and 20,603 is: 30,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.20 : 32,193.99 = 20,603 : x
  2. Step 2: Convert to fraction form
    21,614.20/32,193.99 = 20,603/x
  3. Step 3: Cross multiply
    21,614.20x = 32,193.99 × 20,603
  4. Step 4: Simplify right side
    21,614.20x = 663,292,775.97
  5. Step 5: Solve for x
    x = 663,292,775.97/21,614.20
  6. Step 6: Final answer
    x = 30,687.82

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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.