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Finding the Fourth Proportional to 27,571.50, 38,055.42 and 15,641.82

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Solution

The fourth proportional to 27,571.50, 38,055.42 and 15,641.82 is: 21,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.50 : 38,055.42 = 15,641.82 : x
  2. Step 2: Convert to fraction form
    27,571.50/38,055.42 = 15,641.82/x
  3. Step 3: Cross multiply
    27,571.50x = 38,055.42 × 15,641.82
  4. Step 4: Simplify right side
    27,571.50x = 595,256,029.66
  5. Step 5: Solve for x
    x = 595,256,029.66/27,571.50
  6. Step 6: Final answer
    x = 21,589.54

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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.