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Finding the Fourth Proportional to 19,842.10, 27,381.31 and 11,343.78

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Solution

The fourth proportional to 19,842.10, 27,381.31 and 11,343.78 is: 15,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.10 : 27,381.31 = 11,343.78 : x
  2. Step 2: Convert to fraction form
    19,842.10/27,381.31 = 11,343.78/x
  3. Step 3: Cross multiply
    19,842.10x = 27,381.31 × 11,343.78
  4. Step 4: Simplify right side
    19,842.10x = 310,607,528.39
  5. Step 5: Solve for x
    x = 310,607,528.39/19,842.10
  6. Step 6: Final answer
    x = 15,653.97

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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.