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Finding the Fourth Proportional to 19,709.84, 27,199.92 and 10,757.43

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Solution

The fourth proportional to 19,709.84, 27,199.92 and 10,757.43 is: 14,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.84 : 27,199.92 = 10,757.43 : x
  2. Step 2: Convert to fraction form
    19,709.84/27,199.92 = 10,757.43/x
  3. Step 3: Cross multiply
    19,709.84x = 27,199.92 × 10,757.43
  4. Step 4: Simplify right side
    19,709.84x = 292,601,235.41
  5. Step 5: Solve for x
    x = 292,601,235.41/19,709.84
  6. Step 6: Final answer
    x = 14,845.44

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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.