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Finding the Fourth Proportional to 13,792.75, 20,692.37 and 4,558.75

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Solution

The fourth proportional to 13,792.75, 20,692.37 and 4,558.75 is: 6,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.75 : 20,692.37 = 4,558.75 : x
  2. Step 2: Convert to fraction form
    13,792.75/20,692.37 = 4,558.75/x
  3. Step 3: Cross multiply
    13,792.75x = 20,692.37 × 4,558.75
  4. Step 4: Simplify right side
    13,792.75x = 94,331,341.74
  5. Step 5: Solve for x
    x = 94,331,341.74/13,792.75
  6. Step 6: Final answer
    x = 6,839.20

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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.