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Finding the Fourth Proportional to 27,782.42, 38,330.21 and 15,837.12

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Solution

The fourth proportional to 27,782.42, 38,330.21 and 15,837.12 is: 21,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.42 : 38,330.21 = 15,837.12 : x
  2. Step 2: Convert to fraction form
    27,782.42/38,330.21 = 15,837.12/x
  3. Step 3: Cross multiply
    27,782.42x = 38,330.21 × 15,837.12
  4. Step 4: Simplify right side
    27,782.42x = 607,040,174.99
  5. Step 5: Solve for x
    x = 607,040,174.99/27,782.42
  6. Step 6: Final answer
    x = 21,849.80

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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.