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Finding the Fourth Proportional to 13,792.86, 20,692.53 and 6,003.90

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Solution

The fourth proportional to 13,792.86, 20,692.53 and 6,003.90 is: 9,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.86 : 20,692.53 = 6,003.90 : x
  2. Step 2: Convert to fraction form
    13,792.86/20,692.53 = 6,003.90/x
  3. Step 3: Cross multiply
    13,792.86x = 20,692.53 × 6,003.90
  4. Step 4: Simplify right side
    13,792.86x = 124,235,880.87
  5. Step 5: Solve for x
    x = 124,235,880.87/13,792.86
  6. Step 6: Final answer
    x = 9,007.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.