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Finding the Fourth Proportional to 27,717.88, 38,249.82 and 15,782.92

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Solution

The fourth proportional to 27,717.88, 38,249.82 and 15,782.92 is: 21,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717.88 : 38,249.82 = 15,782.92 : x
  2. Step 2: Convert to fraction form
    27,717.88/38,249.82 = 15,782.92/x
  3. Step 3: Cross multiply
    27,717.88x = 38,249.82 × 15,782.92
  4. Step 4: Simplify right side
    27,717.88x = 603,693,849.07
  5. Step 5: Solve for x
    x = 603,693,849.07/27,717.88
  6. Step 6: Final answer
    x = 21,779.94

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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.