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Finding the Fourth Proportional to 18,642.96, 27,957.78 and 6,160.68

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Solution

The fourth proportional to 18,642.96, 27,957.78 and 6,160.68 is: 9,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.96 : 27,957.78 = 6,160.68 : x
  2. Step 2: Convert to fraction form
    18,642.96/27,957.78 = 6,160.68/x
  3. Step 3: Cross multiply
    18,642.96x = 27,957.78 × 6,160.68
  4. Step 4: Simplify right side
    18,642.96x = 172,238,936.09
  5. Step 5: Solve for x
    x = 172,238,936.09/18,642.96
  6. Step 6: Final answer
    x = 9,238.82

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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.