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Finding the Fourth Proportional to 27,233.57, 40,858.25 and 9,704.76

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Solution

The fourth proportional to 27,233.57, 40,858.25 and 9,704.76 is: 14,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,233.57 : 40,858.25 = 9,704.76 : x
  2. Step 2: Convert to fraction form
    27,233.57/40,858.25 = 9,704.76/x
  3. Step 3: Cross multiply
    27,233.57x = 40,858.25 × 9,704.76
  4. Step 4: Simplify right side
    27,233.57x = 396,519,461.75
  5. Step 5: Solve for x
    x = 396,519,461.75/27,233.57
  6. Step 6: Final answer
    x = 14,559.95

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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.