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Finding the Fourth Proportional to 12,127.96, 16,736.52 and 6,822.81

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Solution

The fourth proportional to 12,127.96, 16,736.52 and 6,822.81 is: 9,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.96 : 16,736.52 = 6,822.81 : x
  2. Step 2: Convert to fraction form
    12,127.96/16,736.52 = 6,822.81/x
  3. Step 3: Cross multiply
    12,127.96x = 16,736.52 × 6,822.81
  4. Step 4: Simplify right side
    12,127.96x = 114,190,096.02
  5. Step 5: Solve for x
    x = 114,190,096.02/12,127.96
  6. Step 6: Final answer
    x = 9,415.44

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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.