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Finding the Fourth Proportional to 19,709.74, 27,200.10 and 10,757.76

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Solution

The fourth proportional to 19,709.74, 27,200.10 and 10,757.76 is: 14,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.74 : 27,200.10 = 10,757.76 : x
  2. Step 2: Convert to fraction form
    19,709.74/27,200.10 = 10,757.76/x
  3. Step 3: Cross multiply
    19,709.74x = 27,200.10 × 10,757.76
  4. Step 4: Simplify right side
    19,709.74x = 292,612,147.78
  5. Step 5: Solve for x
    x = 292,612,147.78/19,709.74
  6. Step 6: Final answer
    x = 14,846.07

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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.