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Finding the Fourth Proportional to 27,605.20, 41,408.16 and 7,884.40

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Solution

The fourth proportional to 27,605.20, 41,408.16 and 7,884.40 is: 11,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.20 : 41,408.16 = 7,884.40 : x
  2. Step 2: Convert to fraction form
    27,605.20/41,408.16 = 7,884.40/x
  3. Step 3: Cross multiply
    27,605.20x = 41,408.16 × 7,884.40
  4. Step 4: Simplify right side
    27,605.20x = 326,478,496.70
  5. Step 5: Solve for x
    x = 326,478,496.70/27,605.20
  6. Step 6: Final answer
    x = 11,826.70

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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.