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Finding the Fourth Proportional to 27,782.93, 41,663.90 and 9,058.57

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Solution

The fourth proportional to 27,782.93, 41,663.90 and 9,058.57 is: 13,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.93 : 41,663.90 = 9,058.57 : x
  2. Step 2: Convert to fraction form
    27,782.93/41,663.90 = 9,058.57/x
  3. Step 3: Cross multiply
    27,782.93x = 41,663.90 × 9,058.57
  4. Step 4: Simplify right side
    27,782.93x = 377,415,273.11
  5. Step 5: Solve for x
    x = 377,415,273.11/27,782.93
  6. Step 6: Final answer
    x = 13,584.43

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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.