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Finding the Fourth Proportional to 13,692.48, 20,539.74 and 3,831.63

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Solution

The fourth proportional to 13,692.48, 20,539.74 and 3,831.63 is: 5,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.48 : 20,539.74 = 3,831.63 : x
  2. Step 2: Convert to fraction form
    13,692.48/20,539.74 = 3,831.63/x
  3. Step 3: Cross multiply
    13,692.48x = 20,539.74 × 3,831.63
  4. Step 4: Simplify right side
    13,692.48x = 78,700,683.98
  5. Step 5: Solve for x
    x = 78,700,683.98/13,692.48
  6. Step 6: Final answer
    x = 5,747.73

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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.