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Finding the Fourth Proportional to 27,757.68, 38,248.92 and 19,782.96

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Solution

The fourth proportional to 27,757.68, 38,248.92 and 19,782.96 is: 27,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.68 : 38,248.92 = 19,782.96 : x
  2. Step 2: Convert to fraction form
    27,757.68/38,248.92 = 19,782.96/x
  3. Step 3: Cross multiply
    27,757.68x = 38,248.92 × 19,782.96
  4. Step 4: Simplify right side
    27,757.68x = 756,676,854.40
  5. Step 5: Solve for x
    x = 756,676,854.40/27,757.68
  6. Step 6: Final answer
    x = 27,260.09

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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.