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Finding the Fourth Proportional to 12,048.14, 16,577.03 and 11,768.49

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Solution

The fourth proportional to 12,048.14, 16,577.03 and 11,768.49 is: 16,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.14 : 16,577.03 = 11,768.49 : x
  2. Step 2: Convert to fraction form
    12,048.14/16,577.03 = 11,768.49/x
  3. Step 3: Cross multiply
    12,048.14x = 16,577.03 × 11,768.49
  4. Step 4: Simplify right side
    12,048.14x = 195,086,611.78
  5. Step 5: Solve for x
    x = 195,086,611.78/12,048.14
  6. Step 6: Final answer
    x = 16,192.26

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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.