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Finding the Fourth Proportional to 20,589.90, 28,415.50 and 11,638.22

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Solution

The fourth proportional to 20,589.90, 28,415.50 and 11,638.22 is: 16,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.90 : 28,415.50 = 11,638.22 : x
  2. Step 2: Convert to fraction form
    20,589.90/28,415.50 = 11,638.22/x
  3. Step 3: Cross multiply
    20,589.90x = 28,415.50 × 11,638.22
  4. Step 4: Simplify right side
    20,589.90x = 330,705,840.41
  5. Step 5: Solve for x
    x = 330,705,840.41/20,589.90
  6. Step 6: Final answer
    x = 16,061.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.