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Finding the Fourth Proportional to 27,234.96, 40,857.59 and 9,464.95

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Solution

The fourth proportional to 27,234.96, 40,857.59 and 9,464.95 is: 14,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.96 : 40,857.59 = 9,464.95 : x
  2. Step 2: Convert to fraction form
    27,234.96/40,857.59 = 9,464.95/x
  3. Step 3: Cross multiply
    27,234.96x = 40,857.59 × 9,464.95
  4. Step 4: Simplify right side
    27,234.96x = 386,715,046.47
  5. Step 5: Solve for x
    x = 386,715,046.47/27,234.96
  6. Step 6: Final answer
    x = 14,199.21

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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.