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Finding the Fourth Proportional to 27,786.26, 38,357.55 and 17,728.22

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Solution

The fourth proportional to 27,786.26, 38,357.55 and 17,728.22 is: 24,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.26 : 38,357.55 = 17,728.22 : x
  2. Step 2: Convert to fraction form
    27,786.26/38,357.55 = 17,728.22/x
  3. Step 3: Cross multiply
    27,786.26x = 38,357.55 × 17,728.22
  4. Step 4: Simplify right side
    27,786.26x = 680,011,085.06
  5. Step 5: Solve for x
    x = 680,011,085.06/27,786.26
  6. Step 6: Final answer
    x = 24,472.93

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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.