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Finding the Fourth Proportional to 27,578.15, 41,353.55 and 9,806.14

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Solution

The fourth proportional to 27,578.15, 41,353.55 and 9,806.14 is: 14,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.15 : 41,353.55 = 9,806.14 : x
  2. Step 2: Convert to fraction form
    27,578.15/41,353.55 = 9,806.14/x
  3. Step 3: Cross multiply
    27,578.15x = 41,353.55 × 9,806.14
  4. Step 4: Simplify right side
    27,578.15x = 405,518,700.80
  5. Step 5: Solve for x
    x = 405,518,700.80/27,578.15
  6. Step 6: Final answer
    x = 14,704.35

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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.