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Finding the Fourth Proportional to 27,853.88, 41,782.64 and 12,271.50

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Solution

The fourth proportional to 27,853.88, 41,782.64 and 12,271.50 is: 18,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.88 : 41,782.64 = 12,271.50 : x
  2. Step 2: Convert to fraction form
    27,853.88/41,782.64 = 12,271.50/x
  3. Step 3: Cross multiply
    27,853.88x = 41,782.64 × 12,271.50
  4. Step 4: Simplify right side
    27,853.88x = 512,735,605.40
  5. Step 5: Solve for x
    x = 512,735,605.40/27,853.88
  6. Step 6: Final answer
    x = 18,408.05

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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.