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Finding the Fourth Proportional to 21,174.41, 31,762.97 and 5,591.63

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Solution

The fourth proportional to 21,174.41, 31,762.97 and 5,591.63 is: 8,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.41 : 31,762.97 = 5,591.63 : x
  2. Step 2: Convert to fraction form
    21,174.41/31,762.97 = 5,591.63/x
  3. Step 3: Cross multiply
    21,174.41x = 31,762.97 × 5,591.63
  4. Step 4: Simplify right side
    21,174.41x = 177,606,589.17
  5. Step 5: Solve for x
    x = 177,606,589.17/21,174.41
  6. Step 6: Final answer
    x = 8,387.80

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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.