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Finding the Fourth Proportional to 27,057.38, 40,586.67 and 9,288

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Solution

The fourth proportional to 27,057.38, 40,586.67 and 9,288 is: 13,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.38 : 40,586.67 = 9,288 : x
  2. Step 2: Convert to fraction form
    27,057.38/40,586.67 = 9,288/x
  3. Step 3: Cross multiply
    27,057.38x = 40,586.67 × 9,288
  4. Step 4: Simplify right side
    27,057.38x = 376,968,990.96
  5. Step 5: Solve for x
    x = 376,968,990.96/27,057.38
  6. Step 6: Final answer
    x = 13,932.21

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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.