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Finding the Fourth Proportional to 19,841.72, 27,381.42 and 11,462.84

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Solution

The fourth proportional to 19,841.72, 27,381.42 and 11,462.84 is: 15,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.72 : 27,381.42 = 11,462.84 : x
  2. Step 2: Convert to fraction form
    19,841.72/27,381.42 = 11,462.84/x
  3. Step 3: Cross multiply
    19,841.72x = 27,381.42 × 11,462.84
  4. Step 4: Simplify right side
    19,841.72x = 313,868,836.43
  5. Step 5: Solve for x
    x = 313,868,836.43/19,841.72
  6. Step 6: Final answer
    x = 15,818.63

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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.