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Finding the Fourth Proportional to 27,782.61, 41,659.74 and 9,050.60

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Solution

The fourth proportional to 27,782.61, 41,659.74 and 9,050.60 is: 13,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.61 : 41,659.74 = 9,050.60 : x
  2. Step 2: Convert to fraction form
    27,782.61/41,659.74 = 9,050.60/x
  3. Step 3: Cross multiply
    27,782.61x = 41,659.74 × 9,050.60
  4. Step 4: Simplify right side
    27,782.61x = 377,045,434.55
  5. Step 5: Solve for x
    x = 377,045,434.55/27,782.61
  6. Step 6: Final answer
    x = 13,571.27

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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.