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Finding the Fourth Proportional to 13,840.38, 20,764.62 and 5,938.74

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Solution

The fourth proportional to 13,840.38, 20,764.62 and 5,938.74 is: 8,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.38 : 20,764.62 = 5,938.74 : x
  2. Step 2: Convert to fraction form
    13,840.38/20,764.62 = 5,938.74/x
  3. Step 3: Cross multiply
    13,840.38x = 20,764.62 × 5,938.74
  4. Step 4: Simplify right side
    13,840.38x = 123,315,679.38
  5. Step 5: Solve for x
    x = 123,315,679.38/13,840.38
  6. Step 6: Final answer
    x = 8,909.85

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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.