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Finding the Fourth Proportional to 27,820.85, 41,702.11 and 10,279.49

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Solution

The fourth proportional to 27,820.85, 41,702.11 and 10,279.49 is: 15,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.85 : 41,702.11 = 10,279.49 : x
  2. Step 2: Convert to fraction form
    27,820.85/41,702.11 = 10,279.49/x
  3. Step 3: Cross multiply
    27,820.85x = 41,702.11 × 10,279.49
  4. Step 4: Simplify right side
    27,820.85x = 428,676,422.72
  5. Step 5: Solve for x
    x = 428,676,422.72/27,820.85
  6. Step 6: Final answer
    x = 15,408.46

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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.