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Finding the Fourth Proportional to 12,139.14, 16,753.77 and 11,388.63

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Solution

The fourth proportional to 12,139.14, 16,753.77 and 11,388.63 is: 15,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.14 : 16,753.77 = 11,388.63 : x
  2. Step 2: Convert to fraction form
    12,139.14/16,753.77 = 11,388.63/x
  3. Step 3: Cross multiply
    12,139.14x = 16,753.77 × 11,388.63
  4. Step 4: Simplify right side
    12,139.14x = 190,802,487.64
  5. Step 5: Solve for x
    x = 190,802,487.64/12,139.14
  6. Step 6: Final answer
    x = 15,717.96

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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.