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Finding the Fourth Proportional to 13,962.40, 20,941.20 and 5,192.80

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Solution

The fourth proportional to 13,962.40, 20,941.20 and 5,192.80 is: 7,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962.40 : 20,941.20 = 5,192.80 : x
  2. Step 2: Convert to fraction form
    13,962.40/20,941.20 = 5,192.80/x
  3. Step 3: Cross multiply
    13,962.40x = 20,941.20 × 5,192.80
  4. Step 4: Simplify right side
    13,962.40x = 108,743,463.36
  5. Step 5: Solve for x
    x = 108,743,463.36/13,962.40
  6. Step 6: Final answer
    x = 7,788.31

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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.