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Finding the Fourth Proportional to 13,762.80, 18,949.50 and 12,146.04

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Solution

The fourth proportional to 13,762.80, 18,949.50 and 12,146.04 is: 16,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.80 : 18,949.50 = 12,146.04 : x
  2. Step 2: Convert to fraction form
    13,762.80/18,949.50 = 12,146.04/x
  3. Step 3: Cross multiply
    13,762.80x = 18,949.50 × 12,146.04
  4. Step 4: Simplify right side
    13,762.80x = 230,161,384.98
  5. Step 5: Solve for x
    x = 230,161,384.98/13,762.80
  6. Step 6: Final answer
    x = 16,723.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.