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Finding the Fourth Proportional to 27,326.94, 40,996.17 and 8,857.50

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Solution

The fourth proportional to 27,326.94, 40,996.17 and 8,857.50 is: 13,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,326.94 : 40,996.17 = 8,857.50 : x
  2. Step 2: Convert to fraction form
    27,326.94/40,996.17 = 8,857.50/x
  3. Step 3: Cross multiply
    27,326.94x = 40,996.17 × 8,857.50
  4. Step 4: Simplify right side
    27,326.94x = 363,123,575.78
  5. Step 5: Solve for x
    x = 363,123,575.78/27,326.94
  6. Step 6: Final answer
    x = 13,288.12

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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.