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Finding the Fourth Proportional to 27,782.46, 41,669.57 and 10,248.26

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Solution

The fourth proportional to 27,782.46, 41,669.57 and 10,248.26 is: 15,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.46 : 41,669.57 = 10,248.26 : x
  2. Step 2: Convert to fraction form
    27,782.46/41,669.57 = 10,248.26/x
  3. Step 3: Cross multiply
    27,782.46x = 41,669.57 × 10,248.26
  4. Step 4: Simplify right side
    27,782.46x = 427,040,404.72
  5. Step 5: Solve for x
    x = 427,040,404.72/27,782.46
  6. Step 6: Final answer
    x = 15,370.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.