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Finding the Fourth Proportional to 27,822.36, 38,373.90 and 19,324.48

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Solution

The fourth proportional to 27,822.36, 38,373.90 and 19,324.48 is: 26,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.36 : 38,373.90 = 19,324.48 : x
  2. Step 2: Convert to fraction form
    27,822.36/38,373.90 = 19,324.48/x
  3. Step 3: Cross multiply
    27,822.36x = 38,373.90 × 19,324.48
  4. Step 4: Simplify right side
    27,822.36x = 741,555,663.07
  5. Step 5: Solve for x
    x = 741,555,663.07/27,822.36
  6. Step 6: Final answer
    x = 26,653.23

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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.